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Finding the Fourth Proportional to 32.24, 48 and 30.69

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Solution

The fourth proportional to 32.24, 48 and 30.69 is: 45.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.24 : 48 = 30.69 : x
  2. Step 2: Convert to fraction form
    32.24/48 = 30.69/x
  3. Step 3: Cross multiply
    32.24x = 48 × 30.69
  4. Step 4: Simplify right side
    32.24x = 1,473.12
  5. Step 5: Solve for x
    x = 1,473.12/32.24
  6. Step 6: Final answer
    x = 45.69

Related Problems

Find fourth proportional to 16.12, 24 and 15.35
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Double scale
Find fourth proportional to 33.24, 49.49 and 31.69
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.