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Finding the Fourth Proportional to 388.23, 584.50 and 267.28

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Solution

The fourth proportional to 388.23, 584.50 and 267.28 is: 402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.23 : 584.50 = 267.28 : x
  2. Step 2: Convert to fraction form
    388.23/584.50 = 267.28/x
  3. Step 3: Cross multiply
    388.23x = 584.50 × 267.28
  4. Step 4: Simplify right side
    388.23x = 156,226.82
  5. Step 5: Solve for x
    x = 156,226.82/388.23
  6. Step 6: Final answer
    x = 402.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.