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Finding the Fourth Proportional to 401.28, 552.84 and 307.92

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Solution

The fourth proportional to 401.28, 552.84 and 307.92 is: 424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.28 : 552.84 = 307.92 : x
  2. Step 2: Convert to fraction form
    401.28/552.84 = 307.92/x
  3. Step 3: Cross multiply
    401.28x = 552.84 × 307.92
  4. Step 4: Simplify right side
    401.28x = 170,230.49
  5. Step 5: Solve for x
    x = 170,230.49/401.28
  6. Step 6: Final answer
    x = 424.22

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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.