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Finding the Fourth Proportional to 447.12, 616.89 and 260.57

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Solution

The fourth proportional to 447.12, 616.89 and 260.57 is: 359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.12 : 616.89 = 260.57 : x
  2. Step 2: Convert to fraction form
    447.12/616.89 = 260.57/x
  3. Step 3: Cross multiply
    447.12x = 616.89 × 260.57
  4. Step 4: Simplify right side
    447.12x = 160,742.19
  5. Step 5: Solve for x
    x = 160,742.19/447.12
  6. Step 6: Final answer
    x = 359.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.