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Finding the Fourth Proportional to 64.55, 96.88 and 38.80

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Solution

The fourth proportional to 64.55, 96.88 and 38.80 is: 58.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.55 : 96.88 = 38.80 : x
  2. Step 2: Convert to fraction form
    64.55/96.88 = 38.80/x
  3. Step 3: Cross multiply
    64.55x = 96.88 × 38.80
  4. Step 4: Simplify right side
    64.55x = 3,758.60
  5. Step 5: Solve for x
    x = 3,758.60/64.55
  6. Step 6: Final answer
    x = 58.23

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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.