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Finding the Fourth Proportional to 229.70, 317.10 and 177.12

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Solution

The fourth proportional to 229.70, 317.10 and 177.12 is: 244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.70 : 317.10 = 177.12 : x
  2. Step 2: Convert to fraction form
    229.70/317.10 = 177.12/x
  3. Step 3: Cross multiply
    229.70x = 317.10 × 177.12
  4. Step 4: Simplify right side
    229.70x = 56,166.61
  5. Step 5: Solve for x
    x = 56,166.61/229.70
  6. Step 6: Final answer
    x = 244.53

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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.