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Finding the Fourth Proportional to 343.96, 517.80 and 314.20

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Solution

The fourth proportional to 343.96, 517.80 and 314.20 is: 473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.96 : 517.80 = 314.20 : x
  2. Step 2: Convert to fraction form
    343.96/517.80 = 314.20/x
  3. Step 3: Cross multiply
    343.96x = 517.80 × 314.20
  4. Step 4: Simplify right side
    343.96x = 162,692.76
  5. Step 5: Solve for x
    x = 162,692.76/343.96
  6. Step 6: Final answer
    x = 473.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.