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Finding the Fourth Proportional to 175.74, 242.48 and 116.72

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Solution

The fourth proportional to 175.74, 242.48 and 116.72 is: 161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.74 : 242.48 = 116.72 : x
  2. Step 2: Convert to fraction form
    175.74/242.48 = 116.72/x
  3. Step 3: Cross multiply
    175.74x = 242.48 × 116.72
  4. Step 4: Simplify right side
    175.74x = 28,302.27
  5. Step 5: Solve for x
    x = 28,302.27/175.74
  6. Step 6: Final answer
    x = 161.05

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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.