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Finding the Fourth Proportional to 372.10, 512.82 and 267.20

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Solution

The fourth proportional to 372.10, 512.82 and 267.20 is: 368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.10 : 512.82 = 267.20 : x
  2. Step 2: Convert to fraction form
    372.10/512.82 = 267.20/x
  3. Step 3: Cross multiply
    372.10x = 512.82 × 267.20
  4. Step 4: Simplify right side
    372.10x = 137,025.50
  5. Step 5: Solve for x
    x = 137,025.50/372.10
  6. Step 6: Final answer
    x = 368.25

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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.