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Finding the Fourth Proportional to 342.58, 473.10 and 293.17

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Solution

The fourth proportional to 342.58, 473.10 and 293.17 is: 404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.58 : 473.10 = 293.17 : x
  2. Step 2: Convert to fraction form
    342.58/473.10 = 293.17/x
  3. Step 3: Cross multiply
    342.58x = 473.10 × 293.17
  4. Step 4: Simplify right side
    342.58x = 138,698.73
  5. Step 5: Solve for x
    x = 138,698.73/342.58
  6. Step 6: Final answer
    x = 404.87

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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.