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Finding the Fourth Proportional to 654.12, 981.20 and 269.40

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Solution

The fourth proportional to 654.12, 981.20 and 269.40 is: 404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.12 : 981.20 = 269.40 : x
  2. Step 2: Convert to fraction form
    654.12/981.20 = 269.40/x
  3. Step 3: Cross multiply
    654.12x = 981.20 × 269.40
  4. Step 4: Simplify right side
    654.12x = 264,335.28
  5. Step 5: Solve for x
    x = 264,335.28/654.12
  6. Step 6: Final answer
    x = 404.11

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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.