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Finding the Fourth Proportional to 343.20, 470.40 and 340.80

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Solution

The fourth proportional to 343.20, 470.40 and 340.80 is: 467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.20 : 470.40 = 340.80 : x
  2. Step 2: Convert to fraction form
    343.20/470.40 = 340.80/x
  3. Step 3: Cross multiply
    343.20x = 470.40 × 340.80
  4. Step 4: Simplify right side
    343.20x = 160,312.32
  5. Step 5: Solve for x
    x = 160,312.32/343.20
  6. Step 6: Final answer
    x = 467.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.