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Finding the Fourth Proportional to 345.02, 516.86 and 205.76

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Solution

The fourth proportional to 345.02, 516.86 and 205.76 is: 308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.02 : 516.86 = 205.76 : x
  2. Step 2: Convert to fraction form
    345.02/516.86 = 205.76/x
  3. Step 3: Cross multiply
    345.02x = 516.86 × 205.76
  4. Step 4: Simplify right side
    345.02x = 106,349.11
  5. Step 5: Solve for x
    x = 106,349.11/345.02
  6. Step 6: Final answer
    x = 308.24

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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.