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Finding the Fourth Proportional to 343.54, 473.61 and 315.46

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Solution

The fourth proportional to 343.54, 473.61 and 315.46 is: 434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.54 : 473.61 = 315.46 : x
  2. Step 2: Convert to fraction form
    343.54/473.61 = 315.46/x
  3. Step 3: Cross multiply
    343.54x = 473.61 × 315.46
  4. Step 4: Simplify right side
    343.54x = 149,405.01
  5. Step 5: Solve for x
    x = 149,405.01/343.54
  6. Step 6: Final answer
    x = 434.90

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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.