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Finding the Fourth Proportional to 64.54, 96.23 and 62.08

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Solution

The fourth proportional to 64.54, 96.23 and 62.08 is: 92.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.54 : 96.23 = 62.08 : x
  2. Step 2: Convert to fraction form
    64.54/96.23 = 62.08/x
  3. Step 3: Cross multiply
    64.54x = 96.23 × 62.08
  4. Step 4: Simplify right side
    64.54x = 5,973.96
  5. Step 5: Solve for x
    x = 5,973.96/64.54
  6. Step 6: Final answer
    x = 92.56

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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.