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Finding the Fourth Proportional to 39.66, 59.16 and 36.96

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Solution

The fourth proportional to 39.66, 59.16 and 36.96 is: 55.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.66 : 59.16 = 36.96 : x
  2. Step 2: Convert to fraction form
    39.66/59.16 = 36.96/x
  3. Step 3: Cross multiply
    39.66x = 59.16 × 36.96
  4. Step 4: Simplify right side
    39.66x = 2,186.55
  5. Step 5: Solve for x
    x = 2,186.55/39.66
  6. Step 6: Final answer
    x = 55.13

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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.