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Finding the Fourth Proportional to 398.49, 549.83 and 345.95

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Solution

The fourth proportional to 398.49, 549.83 and 345.95 is: 477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.49 : 549.83 = 345.95 : x
  2. Step 2: Convert to fraction form
    398.49/549.83 = 345.95/x
  3. Step 3: Cross multiply
    398.49x = 549.83 × 345.95
  4. Step 4: Simplify right side
    398.49x = 190,209.21
  5. Step 5: Solve for x
    x = 190,209.21/398.49
  6. Step 6: Final answer
    x = 477.32

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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.