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Finding the Fourth Proportional to 345.12, 516.48 and 286.80

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Solution

The fourth proportional to 345.12, 516.48 and 286.80 is: 429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.12 : 516.48 = 286.80 : x
  2. Step 2: Convert to fraction form
    345.12/516.48 = 286.80/x
  3. Step 3: Cross multiply
    345.12x = 516.48 × 286.80
  4. Step 4: Simplify right side
    345.12x = 148,126.46
  5. Step 5: Solve for x
    x = 148,126.46/345.12
  6. Step 6: Final answer
    x = 429.20

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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.