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Finding the Fourth Proportional to 342.98, 516.79 and 283.45

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Solution

The fourth proportional to 342.98, 516.79 and 283.45 is: 427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 516.79 = 283.45 : x
  2. Step 2: Convert to fraction form
    342.98/516.79 = 283.45/x
  3. Step 3: Cross multiply
    342.98x = 516.79 × 283.45
  4. Step 4: Simplify right side
    342.98x = 146,480.83
  5. Step 5: Solve for x
    x = 146,480.83/342.98
  6. Step 6: Final answer
    x = 427.08

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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.