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Finding the Fourth Proportional to 398.23, 549.47 and 230.18

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Solution

The fourth proportional to 398.23, 549.47 and 230.18 is: 317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.23 : 549.47 = 230.18 : x
  2. Step 2: Convert to fraction form
    398.23/549.47 = 230.18/x
  3. Step 3: Cross multiply
    398.23x = 549.47 × 230.18
  4. Step 4: Simplify right side
    398.23x = 126,474.83
  5. Step 5: Solve for x
    x = 126,474.83/398.23
  6. Step 6: Final answer
    x = 317.59

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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.