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Finding the Fourth Proportional to 130.48, 194.38 and 124.24

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Solution

The fourth proportional to 130.48, 194.38 and 124.24 is: 185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.48 : 194.38 = 124.24 : x
  2. Step 2: Convert to fraction form
    130.48/194.38 = 124.24/x
  3. Step 3: Cross multiply
    130.48x = 194.38 × 124.24
  4. Step 4: Simplify right side
    130.48x = 24,149.77
  5. Step 5: Solve for x
    x = 24,149.77/130.48
  6. Step 6: Final answer
    x = 185.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.