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Finding the Fourth Proportional to 342.98, 473.06 and 331.68

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Solution

The fourth proportional to 342.98, 473.06 and 331.68 is: 457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 473.06 = 331.68 : x
  2. Step 2: Convert to fraction form
    342.98/473.06 = 331.68/x
  3. Step 3: Cross multiply
    342.98x = 473.06 × 331.68
  4. Step 4: Simplify right side
    342.98x = 156,904.54
  5. Step 5: Solve for x
    x = 156,904.54/342.98
  6. Step 6: Final answer
    x = 457.47

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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.