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Finding the Fourth Proportional to 65.50, 97.24 and 64.42

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Solution

The fourth proportional to 65.50, 97.24 and 64.42 is: 95.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.50 : 97.24 = 64.42 : x
  2. Step 2: Convert to fraction form
    65.50/97.24 = 64.42/x
  3. Step 3: Cross multiply
    65.50x = 97.24 × 64.42
  4. Step 4: Simplify right side
    65.50x = 6,264.20
  5. Step 5: Solve for x
    x = 6,264.20/65.50
  6. Step 6: Final answer
    x = 95.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.