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Finding the Fourth Proportional to 363.32, 497.63 and 343.40

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Solution

The fourth proportional to 363.32, 497.63 and 343.40 is: 470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.32 : 497.63 = 343.40 : x
  2. Step 2: Convert to fraction form
    363.32/497.63 = 343.40/x
  3. Step 3: Cross multiply
    363.32x = 497.63 × 343.40
  4. Step 4: Simplify right side
    363.32x = 170,886.14
  5. Step 5: Solve for x
    x = 170,886.14/363.32
  6. Step 6: Final answer
    x = 470.35

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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.