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Finding the Fourth Proportional to 470.57, 649.50 and 271.51

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Solution

The fourth proportional to 470.57, 649.50 and 271.51 is: 374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 649.50 = 271.51 : x
  2. Step 2: Convert to fraction form
    470.57/649.50 = 271.51/x
  3. Step 3: Cross multiply
    470.57x = 649.50 × 271.51
  4. Step 4: Simplify right side
    470.57x = 176,345.75
  5. Step 5: Solve for x
    x = 176,345.75/470.57
  6. Step 6: Final answer
    x = 374.75

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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.