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Finding the Fourth Proportional to 130.32, 179.78 and 91.44

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Solution

The fourth proportional to 130.32, 179.78 and 91.44 is: 126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.32 : 179.78 = 91.44 : x
  2. Step 2: Convert to fraction form
    130.32/179.78 = 91.44/x
  3. Step 3: Cross multiply
    130.32x = 179.78 × 91.44
  4. Step 4: Simplify right side
    130.32x = 16,438.63
  5. Step 5: Solve for x
    x = 16,438.63/130.32
  6. Step 6: Final answer
    x = 126.14

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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.