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Finding the Fourth Proportional to 354.12, 531 and 178.23

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Solution

The fourth proportional to 354.12, 531 and 178.23 is: 267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.12 : 531 = 178.23 : x
  2. Step 2: Convert to fraction form
    354.12/531 = 178.23/x
  3. Step 3: Cross multiply
    354.12x = 531 × 178.23
  4. Step 4: Simplify right side
    354.12x = 94,640.13
  5. Step 5: Solve for x
    x = 94,640.13/354.12
  6. Step 6: Final answer
    x = 267.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.