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Finding the Fourth Proportional to 342.49, 513.81 and 123.15

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Solution

The fourth proportional to 342.49, 513.81 and 123.15 is: 184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.49 : 513.81 = 123.15 : x
  2. Step 2: Convert to fraction form
    342.49/513.81 = 123.15/x
  3. Step 3: Cross multiply
    342.49x = 513.81 × 123.15
  4. Step 4: Simplify right side
    342.49x = 63,275.70
  5. Step 5: Solve for x
    x = 63,275.70/342.49
  6. Step 6: Final answer
    x = 184.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.