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Finding the Fourth Proportional to 82.91, 114.50 and 56.76

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Solution

The fourth proportional to 82.91, 114.50 and 56.76 is: 78.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.91 : 114.50 = 56.76 : x
  2. Step 2: Convert to fraction form
    82.91/114.50 = 56.76/x
  3. Step 3: Cross multiply
    82.91x = 114.50 × 56.76
  4. Step 4: Simplify right side
    82.91x = 6,498.73
  5. Step 5: Solve for x
    x = 6,498.73/82.91
  6. Step 6: Final answer
    x = 78.38

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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.