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Finding the Fourth Proportional to 342.84, 473.04 and 280.56

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Solution

The fourth proportional to 342.84, 473.04 and 280.56 is: 387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.84 : 473.04 = 280.56 : x
  2. Step 2: Convert to fraction form
    342.84/473.04 = 280.56/x
  3. Step 3: Cross multiply
    342.84x = 473.04 × 280.56
  4. Step 4: Simplify right side
    342.84x = 132,716.10
  5. Step 5: Solve for x
    x = 132,716.10/342.84
  6. Step 6: Final answer
    x = 387.11

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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.