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Finding the Fourth Proportional to 560.31, 839.85 and 300.12

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Solution

The fourth proportional to 560.31, 839.85 and 300.12 is: 449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.31 : 839.85 = 300.12 : x
  2. Step 2: Convert to fraction form
    560.31/839.85 = 300.12/x
  3. Step 3: Cross multiply
    560.31x = 839.85 × 300.12
  4. Step 4: Simplify right side
    560.31x = 252,055.78
  5. Step 5: Solve for x
    x = 252,055.78/560.31
  6. Step 6: Final answer
    x = 449.85

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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.