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Finding the Fourth Proportional to 39.77, 59.68 and 39.45

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Solution

The fourth proportional to 39.77, 59.68 and 39.45 is: 59.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.77 : 59.68 = 39.45 : x
  2. Step 2: Convert to fraction form
    39.77/59.68 = 39.45/x
  3. Step 3: Cross multiply
    39.77x = 59.68 × 39.45
  4. Step 4: Simplify right side
    39.77x = 2,354.28
  5. Step 5: Solve for x
    x = 2,354.28/39.77
  6. Step 6: Final answer
    x = 59.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.