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Finding the Fourth Proportional to 345.69, 516.47 and 305.55

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Solution

The fourth proportional to 345.69, 516.47 and 305.55 is: 456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.69 : 516.47 = 305.55 : x
  2. Step 2: Convert to fraction form
    345.69/516.47 = 305.55/x
  3. Step 3: Cross multiply
    345.69x = 516.47 × 305.55
  4. Step 4: Simplify right side
    345.69x = 157,805.88
  5. Step 5: Solve for x
    x = 157,805.88/345.69
  6. Step 6: Final answer
    x = 456.50

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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.