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Finding the Fourth Proportional to 130.08, 178.98 and 112.54

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Solution

The fourth proportional to 130.08, 178.98 and 112.54 is: 154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.08 : 178.98 = 112.54 : x
  2. Step 2: Convert to fraction form
    130.08/178.98 = 112.54/x
  3. Step 3: Cross multiply
    130.08x = 178.98 × 112.54
  4. Step 4: Simplify right side
    130.08x = 20,142.41
  5. Step 5: Solve for x
    x = 20,142.41/130.08
  6. Step 6: Final answer
    x = 154.85

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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.