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Finding the Fourth Proportional to 229.92, 313.04 and 229.20

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Solution

The fourth proportional to 229.92, 313.04 and 229.20 is: 312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.92 : 313.04 = 229.20 : x
  2. Step 2: Convert to fraction form
    229.92/313.04 = 229.20/x
  3. Step 3: Cross multiply
    229.92x = 313.04 × 229.20
  4. Step 4: Simplify right side
    229.92x = 71,748.77
  5. Step 5: Solve for x
    x = 71,748.77/229.92
  6. Step 6: Final answer
    x = 312.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.