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Finding the Fourth Proportional to 312.32, 431.04 and 229.47

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Solution

The fourth proportional to 312.32, 431.04 and 229.47 is: 316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.32 : 431.04 = 229.47 : x
  2. Step 2: Convert to fraction form
    312.32/431.04 = 229.47/x
  3. Step 3: Cross multiply
    312.32x = 431.04 × 229.47
  4. Step 4: Simplify right side
    312.32x = 98,909.99
  5. Step 5: Solve for x
    x = 98,909.99/312.32
  6. Step 6: Final answer
    x = 316.69

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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.