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Finding the Fourth Proportional to 229.07, 316.09 and 176.55

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Solution

The fourth proportional to 229.07, 316.09 and 176.55 is: 243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.07 : 316.09 = 176.55 : x
  2. Step 2: Convert to fraction form
    229.07/316.09 = 176.55/x
  3. Step 3: Cross multiply
    229.07x = 316.09 × 176.55
  4. Step 4: Simplify right side
    229.07x = 55,807.14
  5. Step 5: Solve for x
    x = 55,807.14/229.07
  6. Step 6: Final answer
    x = 243.63

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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.