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Finding the Fourth Proportional to 39.64, 59.05 and 38.20

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Solution

The fourth proportional to 39.64, 59.05 and 38.20 is: 56.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.64 : 59.05 = 38.20 : x
  2. Step 2: Convert to fraction form
    39.64/59.05 = 38.20/x
  3. Step 3: Cross multiply
    39.64x = 59.05 × 38.20
  4. Step 4: Simplify right side
    39.64x = 2,255.66
  5. Step 5: Solve for x
    x = 2,255.66/39.64
  6. Step 6: Final answer
    x = 56.90

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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.