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Finding the Fourth Proportional to 78.83, 108.80 and 55.58

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Solution

The fourth proportional to 78.83, 108.80 and 55.58 is: 76.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.83 : 108.80 = 55.58 : x
  2. Step 2: Convert to fraction form
    78.83/108.80 = 55.58/x
  3. Step 3: Cross multiply
    78.83x = 108.80 × 55.58
  4. Step 4: Simplify right side
    78.83x = 6,046.70
  5. Step 5: Solve for x
    x = 6,046.70/78.83
  6. Step 6: Final answer
    x = 76.70

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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.