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Finding the Fourth Proportional to 177.06, 242.70 and 174.24

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Solution

The fourth proportional to 177.06, 242.70 and 174.24 is: 238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.06 : 242.70 = 174.24 : x
  2. Step 2: Convert to fraction form
    177.06/242.70 = 174.24/x
  3. Step 3: Cross multiply
    177.06x = 242.70 × 174.24
  4. Step 4: Simplify right side
    177.06x = 42,288.05
  5. Step 5: Solve for x
    x = 42,288.05/177.06
  6. Step 6: Final answer
    x = 238.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.