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Finding the Fourth Proportional to 65.31, 97.29 and 64.50

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Solution

The fourth proportional to 65.31, 97.29 and 64.50 is: 96.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.31 : 97.29 = 64.50 : x
  2. Step 2: Convert to fraction form
    65.31/97.29 = 64.50/x
  3. Step 3: Cross multiply
    65.31x = 97.29 × 64.50
  4. Step 4: Simplify right side
    65.31x = 6,275.21
  5. Step 5: Solve for x
    x = 6,275.21/65.31
  6. Step 6: Final answer
    x = 96.08

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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.