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Finding the Fourth Proportional to 398, 549.46 and 265.32

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Solution

The fourth proportional to 398, 549.46 and 265.32 is: 366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398 : 549.46 = 265.32 : x
  2. Step 2: Convert to fraction form
    398/549.46 = 265.32/x
  3. Step 3: Cross multiply
    398x = 549.46 × 265.32
  4. Step 4: Simplify right side
    398x = 145,782.73
  5. Step 5: Solve for x
    x = 145,782.73/398
  6. Step 6: Final answer
    x = 366.29

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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.