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Finding the Fourth Proportional to 39.64, 59.45 and 19.35

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Solution

The fourth proportional to 39.64, 59.45 and 19.35 is: 29.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.64 : 59.45 = 19.35 : x
  2. Step 2: Convert to fraction form
    39.64/59.45 = 19.35/x
  3. Step 3: Cross multiply
    39.64x = 59.45 × 19.35
  4. Step 4: Simplify right side
    39.64x = 1,150.41
  5. Step 5: Solve for x
    x = 1,150.41/39.64
  6. Step 6: Final answer
    x = 29.02

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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.