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Finding the Fourth Proportional to 229.67, 314.87 and 225.57

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Solution

The fourth proportional to 229.67, 314.87 and 225.57 is: 309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.67 : 314.87 = 225.57 : x
  2. Step 2: Convert to fraction form
    229.67/314.87 = 225.57/x
  3. Step 3: Cross multiply
    229.67x = 314.87 × 225.57
  4. Step 4: Simplify right side
    229.67x = 71,024.10
  5. Step 5: Solve for x
    x = 71,024.10/229.67
  6. Step 6: Final answer
    x = 309.25

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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.