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Finding the Fourth Proportional to 51.65, 71.24 and 30.91

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Solution

The fourth proportional to 51.65, 71.24 and 30.91 is: 42.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.65 : 71.24 = 30.91 : x
  2. Step 2: Convert to fraction form
    51.65/71.24 = 30.91/x
  3. Step 3: Cross multiply
    51.65x = 71.24 × 30.91
  4. Step 4: Simplify right side
    51.65x = 2,201.77
  5. Step 5: Solve for x
    x = 2,201.77/51.65
  6. Step 6: Final answer
    x = 42.63

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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.