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Finding the Fourth Proportional to 398.55, 549.99 and 329.16

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Solution

The fourth proportional to 398.55, 549.99 and 329.16 is: 454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.55 : 549.99 = 329.16 : x
  2. Step 2: Convert to fraction form
    398.55/549.99 = 329.16/x
  3. Step 3: Cross multiply
    398.55x = 549.99 × 329.16
  4. Step 4: Simplify right side
    398.55x = 181,034.71
  5. Step 5: Solve for x
    x = 181,034.71/398.55
  6. Step 6: Final answer
    x = 454.23

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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.