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Finding the Fourth Proportional to 32.13, 44.55 and 30.78

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Solution

The fourth proportional to 32.13, 44.55 and 30.78 is: 42.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.13 : 44.55 = 30.78 : x
  2. Step 2: Convert to fraction form
    32.13/44.55 = 30.78/x
  3. Step 3: Cross multiply
    32.13x = 44.55 × 30.78
  4. Step 4: Simplify right side
    32.13x = 1,371.25
  5. Step 5: Solve for x
    x = 1,371.25/32.13
  6. Step 6: Final answer
    x = 42.68

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Find fourth proportional to 16.07, 22.28 and 15.39
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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.