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Finding the Fourth Proportional to 423.32, 583.66 and 267.80

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Solution

The fourth proportional to 423.32, 583.66 and 267.80 is: 369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.32 : 583.66 = 267.80 : x
  2. Step 2: Convert to fraction form
    423.32/583.66 = 267.80/x
  3. Step 3: Cross multiply
    423.32x = 583.66 × 267.80
  4. Step 4: Simplify right side
    423.32x = 156,304.15
  5. Step 5: Solve for x
    x = 156,304.15/423.32
  6. Step 6: Final answer
    x = 369.23

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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.