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Finding the Fourth Proportional to 289.29, 432.04 and 231.60

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Solution

The fourth proportional to 289.29, 432.04 and 231.60 is: 345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.29 : 432.04 = 231.60 : x
  2. Step 2: Convert to fraction form
    289.29/432.04 = 231.60/x
  3. Step 3: Cross multiply
    289.29x = 432.04 × 231.60
  4. Step 4: Simplify right side
    289.29x = 100,060.46
  5. Step 5: Solve for x
    x = 100,060.46/289.29
  6. Step 6: Final answer
    x = 345.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.