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Finding the Fourth Proportional to 64.86, 96.50 and 61.02

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Solution

The fourth proportional to 64.86, 96.50 and 61.02 is: 90.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.86 : 96.50 = 61.02 : x
  2. Step 2: Convert to fraction form
    64.86/96.50 = 61.02/x
  3. Step 3: Cross multiply
    64.86x = 96.50 × 61.02
  4. Step 4: Simplify right side
    64.86x = 5,888.12
  5. Step 5: Solve for x
    x = 5,888.12/64.86
  6. Step 6: Final answer
    x = 90.78

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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.