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Finding the Fourth Proportional to 342.32, 473.02 and 243.90

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Solution

The fourth proportional to 342.32, 473.02 and 243.90 is: 337.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.32 : 473.02 = 243.90 : x
  2. Step 2: Convert to fraction form
    342.32/473.02 = 243.90/x
  3. Step 3: Cross multiply
    342.32x = 473.02 × 243.90
  4. Step 4: Simplify right side
    342.32x = 115,368.97
  5. Step 5: Solve for x
    x = 115,368.97/342.32
  6. Step 6: Final answer
    x = 337.03

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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.