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Finding the Fourth Proportional to 342.86, 516.60 and 283.32

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Solution

The fourth proportional to 342.86, 516.60 and 283.32 is: 426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.86 : 516.60 = 283.32 : x
  2. Step 2: Convert to fraction form
    342.86/516.60 = 283.32/x
  3. Step 3: Cross multiply
    342.86x = 516.60 × 283.32
  4. Step 4: Simplify right side
    342.86x = 146,363.11
  5. Step 5: Solve for x
    x = 146,363.11/342.86
  6. Step 6: Final answer
    x = 426.90

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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.