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Finding the Fourth Proportional to 229.71, 316.62 and 177.46

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Solution

The fourth proportional to 229.71, 316.62 and 177.46 is: 244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.71 : 316.62 = 177.46 : x
  2. Step 2: Convert to fraction form
    229.71/316.62 = 177.46/x
  3. Step 3: Cross multiply
    229.71x = 316.62 × 177.46
  4. Step 4: Simplify right side
    229.71x = 56,187.39
  5. Step 5: Solve for x
    x = 56,187.39/229.71
  6. Step 6: Final answer
    x = 244.60

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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.