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Finding the Fourth Proportional to 130.08, 179.85 and 99.18

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Solution

The fourth proportional to 130.08, 179.85 and 99.18 is: 137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.08 : 179.85 = 99.18 : x
  2. Step 2: Convert to fraction form
    130.08/179.85 = 99.18/x
  3. Step 3: Cross multiply
    130.08x = 179.85 × 99.18
  4. Step 4: Simplify right side
    130.08x = 17,837.52
  5. Step 5: Solve for x
    x = 17,837.52/130.08
  6. Step 6: Final answer
    x = 137.13

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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.