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Finding the Fourth Proportional to 345.74, 516.08 and 304.74

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Solution

The fourth proportional to 345.74, 516.08 and 304.74 is: 454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.74 : 516.08 = 304.74 : x
  2. Step 2: Convert to fraction form
    345.74/516.08 = 304.74/x
  3. Step 3: Cross multiply
    345.74x = 516.08 × 304.74
  4. Step 4: Simplify right side
    345.74x = 157,267.64
  5. Step 5: Solve for x
    x = 157,267.64/345.74
  6. Step 6: Final answer
    x = 454.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.