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Finding the Fourth Proportional to 64.93, 97.24 and 64.47

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Solution

The fourth proportional to 64.93, 97.24 and 64.47 is: 96.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.93 : 97.24 = 64.47 : x
  2. Step 2: Convert to fraction form
    64.93/97.24 = 64.47/x
  3. Step 3: Cross multiply
    64.93x = 97.24 × 64.47
  4. Step 4: Simplify right side
    64.93x = 6,269.06
  5. Step 5: Solve for x
    x = 6,269.06/64.93
  6. Step 6: Final answer
    x = 96.55

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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.