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Finding the Fourth Proportional to 175.89, 242.85 and 117.75

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Solution

The fourth proportional to 175.89, 242.85 and 117.75 is: 162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.89 : 242.85 = 117.75 : x
  2. Step 2: Convert to fraction form
    175.89/242.85 = 117.75/x
  3. Step 3: Cross multiply
    175.89x = 242.85 × 117.75
  4. Step 4: Simplify right side
    175.89x = 28,595.59
  5. Step 5: Solve for x
    x = 28,595.59/175.89
  6. Step 6: Final answer
    x = 162.58

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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.