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Finding the Fourth Proportional to 343.20, 514.80 and 305.40

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Solution

The fourth proportional to 343.20, 514.80 and 305.40 is: 458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.20 : 514.80 = 305.40 : x
  2. Step 2: Convert to fraction form
    343.20/514.80 = 305.40/x
  3. Step 3: Cross multiply
    343.20x = 514.80 × 305.40
  4. Step 4: Simplify right side
    343.20x = 157,219.92
  5. Step 5: Solve for x
    x = 157,219.92/343.20
  6. Step 6: Final answer
    x = 458.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.