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Finding the Fourth Proportional to 267.12, 398.85 and 212.40

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Solution

The fourth proportional to 267.12, 398.85 and 212.40 is: 317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.12 : 398.85 = 212.40 : x
  2. Step 2: Convert to fraction form
    267.12/398.85 = 212.40/x
  3. Step 3: Cross multiply
    267.12x = 398.85 × 212.40
  4. Step 4: Simplify right side
    267.12x = 84,715.74
  5. Step 5: Solve for x
    x = 84,715.74/267.12
  6. Step 6: Final answer
    x = 317.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.