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Finding the Fourth Proportional to 83.42, 114.93 and 55.74

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Solution

The fourth proportional to 83.42, 114.93 and 55.74 is: 76.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.42 : 114.93 = 55.74 : x
  2. Step 2: Convert to fraction form
    83.42/114.93 = 55.74/x
  3. Step 3: Cross multiply
    83.42x = 114.93 × 55.74
  4. Step 4: Simplify right side
    83.42x = 6,406.20
  5. Step 5: Solve for x
    x = 6,406.20/83.42
  6. Step 6: Final answer
    x = 76.80

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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.