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Finding the Fourth Proportional to 342.11, 515.47 and 282.57

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Solution

The fourth proportional to 342.11, 515.47 and 282.57 is: 425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.11 : 515.47 = 282.57 : x
  2. Step 2: Convert to fraction form
    342.11/515.47 = 282.57/x
  3. Step 3: Cross multiply
    342.11x = 515.47 × 282.57
  4. Step 4: Simplify right side
    342.11x = 145,655.65
  5. Step 5: Solve for x
    x = 145,655.65/342.11
  6. Step 6: Final answer
    x = 425.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.