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Finding the Fourth Proportional to 65.49, 98.27 and 31.23

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Solution

The fourth proportional to 65.49, 98.27 and 31.23 is: 46.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.49 : 98.27 = 31.23 : x
  2. Step 2: Convert to fraction form
    65.49/98.27 = 31.23/x
  3. Step 3: Cross multiply
    65.49x = 98.27 × 31.23
  4. Step 4: Simplify right side
    65.49x = 3,068.97
  5. Step 5: Solve for x
    x = 3,068.97/65.49
  6. Step 6: Final answer
    x = 46.86

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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.