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Finding the Fourth Proportional to 175.57, 242.19 and 109.15

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Solution

The fourth proportional to 175.57, 242.19 and 109.15 is: 150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.57 : 242.19 = 109.15 : x
  2. Step 2: Convert to fraction form
    175.57/242.19 = 109.15/x
  3. Step 3: Cross multiply
    175.57x = 242.19 × 109.15
  4. Step 4: Simplify right side
    175.57x = 26,434.43
  5. Step 5: Solve for x
    x = 26,434.43/175.57
  6. Step 6: Final answer
    x = 150.57

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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.