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Finding the Fourth Proportional to 67.30, 101.10 and 64.86

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Solution

The fourth proportional to 67.30, 101.10 and 64.86 is: 97.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.30 : 101.10 = 64.86 : x
  2. Step 2: Convert to fraction form
    67.30/101.10 = 64.86/x
  3. Step 3: Cross multiply
    67.30x = 101.10 × 64.86
  4. Step 4: Simplify right side
    67.30x = 6,557.35
  5. Step 5: Solve for x
    x = 6,557.35/67.30
  6. Step 6: Final answer
    x = 97.43

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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.