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Finding the Fourth Proportional to 613.96, 921.12 and 267.40

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Solution

The fourth proportional to 613.96, 921.12 and 267.40 is: 401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.96 : 921.12 = 267.40 : x
  2. Step 2: Convert to fraction form
    613.96/921.12 = 267.40/x
  3. Step 3: Cross multiply
    613.96x = 921.12 × 267.40
  4. Step 4: Simplify right side
    613.96x = 246,307.49
  5. Step 5: Solve for x
    x = 246,307.49/613.96
  6. Step 6: Final answer
    x = 401.18

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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.