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Finding the Fourth Proportional to 51.65, 71.28 and 29.82

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Solution

The fourth proportional to 51.65, 71.28 and 29.82 is: 41.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.65 : 71.28 = 29.82 : x
  2. Step 2: Convert to fraction form
    51.65/71.28 = 29.82/x
  3. Step 3: Cross multiply
    51.65x = 71.28 × 29.82
  4. Step 4: Simplify right side
    51.65x = 2,125.64
  5. Step 5: Solve for x
    x = 2,125.64/51.65
  6. Step 6: Final answer
    x = 41.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.