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Finding the Fourth Proportional to 65.20, 98.31 and 64.52

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Solution

The fourth proportional to 65.20, 98.31 and 64.52 is: 97.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.20 : 98.31 = 64.52 : x
  2. Step 2: Convert to fraction form
    65.20/98.31 = 64.52/x
  3. Step 3: Cross multiply
    65.20x = 98.31 × 64.52
  4. Step 4: Simplify right side
    65.20x = 6,342.96
  5. Step 5: Solve for x
    x = 6,342.96/65.20
  6. Step 6: Final answer
    x = 97.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.