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Finding the Fourth Proportional to 48, 66.24 and 30.75

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Solution

The fourth proportional to 48, 66.24 and 30.75 is: 42.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48 : 66.24 = 30.75 : x
  2. Step 2: Convert to fraction form
    48/66.24 = 30.75/x
  3. Step 3: Cross multiply
    48x = 66.24 × 30.75
  4. Step 4: Simplify right side
    48x = 2,036.88
  5. Step 5: Solve for x
    x = 2,036.88/48
  6. Step 6: Final answer
    x = 42.44

Related Problems

Find fourth proportional to 24, 33.12 and 15.38
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.