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Finding the Fourth Proportional to 398.16, 549 and 258.10

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Solution

The fourth proportional to 398.16, 549 and 258.10 is: 355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.16 : 549 = 258.10 : x
  2. Step 2: Convert to fraction form
    398.16/549 = 258.10/x
  3. Step 3: Cross multiply
    398.16x = 549 × 258.10
  4. Step 4: Simplify right side
    398.16x = 141,695.53
  5. Step 5: Solve for x
    x = 141,695.53/398.16
  6. Step 6: Final answer
    x = 355.88

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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.