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Finding the Fourth Proportional to 432.78, 597.15 and 267.02

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Solution

The fourth proportional to 432.78, 597.15 and 267.02 is: 368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.78 : 597.15 = 267.02 : x
  2. Step 2: Convert to fraction form
    432.78/597.15 = 267.02/x
  3. Step 3: Cross multiply
    432.78x = 597.15 × 267.02
  4. Step 4: Simplify right side
    432.78x = 159,450.99
  5. Step 5: Solve for x
    x = 159,450.99/432.78
  6. Step 6: Final answer
    x = 368.43

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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.