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Finding the Fourth Proportional to 471, 649.40 and 296.30

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Solution

The fourth proportional to 471, 649.40 and 296.30 is: 408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 649.40 = 296.30 : x
  2. Step 2: Convert to fraction form
    471/649.40 = 296.30/x
  3. Step 3: Cross multiply
    471x = 649.40 × 296.30
  4. Step 4: Simplify right side
    471x = 192,417.22
  5. Step 5: Solve for x
    x = 192,417.22/471
  6. Step 6: Final answer
    x = 408.53

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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.