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Finding the Fourth Proportional to 289.50, 432.04 and 282.20

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Solution

The fourth proportional to 289.50, 432.04 and 282.20 is: 421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 432.04 = 282.20 : x
  2. Step 2: Convert to fraction form
    289.50/432.04 = 282.20/x
  3. Step 3: Cross multiply
    289.50x = 432.04 × 282.20
  4. Step 4: Simplify right side
    289.50x = 121,921.69
  5. Step 5: Solve for x
    x = 121,921.69/289.50
  6. Step 6: Final answer
    x = 421.15

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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.