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Finding the Fourth Proportional to 560.05, 839.94 and 267.42

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Solution

The fourth proportional to 560.05, 839.94 and 267.42 is: 401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.05 : 839.94 = 267.42 : x
  2. Step 2: Convert to fraction form
    560.05/839.94 = 267.42/x
  3. Step 3: Cross multiply
    560.05x = 839.94 × 267.42
  4. Step 4: Simplify right side
    560.05x = 224,616.75
  5. Step 5: Solve for x
    x = 224,616.75/560.05
  6. Step 6: Final answer
    x = 401.07

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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.