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Finding the Fourth Proportional to 65.46, 98.12 and 31.20

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Solution

The fourth proportional to 65.46, 98.12 and 31.20 is: 46.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.46 : 98.12 = 31.20 : x
  2. Step 2: Convert to fraction form
    65.46/98.12 = 31.20/x
  3. Step 3: Cross multiply
    65.46x = 98.12 × 31.20
  4. Step 4: Simplify right side
    65.46x = 3,061.34
  5. Step 5: Solve for x
    x = 3,061.34/65.46
  6. Step 6: Final answer
    x = 46.77

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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.