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Finding the Fourth Proportional to 229.48, 314.45 and 229.12

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Solution

The fourth proportional to 229.48, 314.45 and 229.12 is: 313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.48 : 314.45 = 229.12 : x
  2. Step 2: Convert to fraction form
    229.48/314.45 = 229.12/x
  3. Step 3: Cross multiply
    229.48x = 314.45 × 229.12
  4. Step 4: Simplify right side
    229.48x = 72,046.78
  5. Step 5: Solve for x
    x = 72,046.78/229.48
  6. Step 6: Final answer
    x = 313.96

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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.