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Finding the Fourth Proportional to 80.32, 110.65 and 55.40

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Solution

The fourth proportional to 80.32, 110.65 and 55.40 is: 76.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.32 : 110.65 = 55.40 : x
  2. Step 2: Convert to fraction form
    80.32/110.65 = 55.40/x
  3. Step 3: Cross multiply
    80.32x = 110.65 × 55.40
  4. Step 4: Simplify right side
    80.32x = 6,129.81
  5. Step 5: Solve for x
    x = 6,129.81/80.32
  6. Step 6: Final answer
    x = 76.32

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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.