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Finding the Fourth Proportional to 65.29, 97.80 and 31

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Solution

The fourth proportional to 65.29, 97.80 and 31 is: 46.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.29 : 97.80 = 31 : x
  2. Step 2: Convert to fraction form
    65.29/97.80 = 31/x
  3. Step 3: Cross multiply
    65.29x = 97.80 × 31
  4. Step 4: Simplify right side
    65.29x = 3,031.80
  5. Step 5: Solve for x
    x = 3,031.80/65.29
  6. Step 6: Final answer
    x = 46.44

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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.