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Finding the Fourth Proportional to 470.38, 649.17 and 260.57

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Solution

The fourth proportional to 470.38, 649.17 and 260.57 is: 359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.38 : 649.17 = 260.57 : x
  2. Step 2: Convert to fraction form
    470.38/649.17 = 260.57/x
  3. Step 3: Cross multiply
    470.38x = 649.17 × 260.57
  4. Step 4: Simplify right side
    470.38x = 169,154.23
  5. Step 5: Solve for x
    x = 169,154.23/470.38
  6. Step 6: Final answer
    x = 359.61

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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.