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Finding the Fourth Proportional to 82.93, 114.49 and 51.88

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Solution

The fourth proportional to 82.93, 114.49 and 51.88 is: 71.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.93 : 114.49 = 51.88 : x
  2. Step 2: Convert to fraction form
    82.93/114.49 = 51.88/x
  3. Step 3: Cross multiply
    82.93x = 114.49 × 51.88
  4. Step 4: Simplify right side
    82.93x = 5,939.74
  5. Step 5: Solve for x
    x = 5,939.74/82.93
  6. Step 6: Final answer
    x = 71.62

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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.