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Finding the Fourth Proportional to 58.80, 80.96 and 55.76

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Solution

The fourth proportional to 58.80, 80.96 and 55.76 is: 76.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.80 : 80.96 = 55.76 : x
  2. Step 2: Convert to fraction form
    58.80/80.96 = 55.76/x
  3. Step 3: Cross multiply
    58.80x = 80.96 × 55.76
  4. Step 4: Simplify right side
    58.80x = 4,514.25
  5. Step 5: Solve for x
    x = 4,514.25/58.80
  6. Step 6: Final answer
    x = 76.77

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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.