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Finding the Fourth Proportional to 398.56, 549.76 and 282.24

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Solution

The fourth proportional to 398.56, 549.76 and 282.24 is: 389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.56 : 549.76 = 282.24 : x
  2. Step 2: Convert to fraction form
    398.56/549.76 = 282.24/x
  3. Step 3: Cross multiply
    398.56x = 549.76 × 282.24
  4. Step 4: Simplify right side
    398.56x = 155,164.26
  5. Step 5: Solve for x
    x = 155,164.26/398.56
  6. Step 6: Final answer
    x = 389.31

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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.