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Finding the Fourth Proportional to 289.71, 432.03 and 267.27

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Solution

The fourth proportional to 289.71, 432.03 and 267.27 is: 398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.71 : 432.03 = 267.27 : x
  2. Step 2: Convert to fraction form
    289.71/432.03 = 267.27/x
  3. Step 3: Cross multiply
    289.71x = 432.03 × 267.27
  4. Step 4: Simplify right side
    289.71x = 115,468.66
  5. Step 5: Solve for x
    x = 115,468.66/289.71
  6. Step 6: Final answer
    x = 398.57

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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.