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Finding the Fourth Proportional to 400, 552.18 and 296.68

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Solution

The fourth proportional to 400, 552.18 and 296.68 is: 409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400 : 552.18 = 296.68 : x
  2. Step 2: Convert to fraction form
    400/552.18 = 296.68/x
  3. Step 3: Cross multiply
    400x = 552.18 × 296.68
  4. Step 4: Simplify right side
    400x = 163,820.76
  5. Step 5: Solve for x
    x = 163,820.76/400
  6. Step 6: Final answer
    x = 409.55

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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.