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Finding the Fourth Proportional to 471, 649.80 and 296.28

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Solution

The fourth proportional to 471, 649.80 and 296.28 is: 408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 649.80 = 296.28 : x
  2. Step 2: Convert to fraction form
    471/649.80 = 296.28/x
  3. Step 3: Cross multiply
    471x = 649.80 × 296.28
  4. Step 4: Simplify right side
    471x = 192,522.74
  5. Step 5: Solve for x
    x = 192,522.74/471
  6. Step 6: Final answer
    x = 408.75

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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.