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Finding the Fourth Proportional to 345.27, 515.24 and 308.31

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Solution

The fourth proportional to 345.27, 515.24 and 308.31 is: 460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.27 : 515.24 = 308.31 : x
  2. Step 2: Convert to fraction form
    345.27/515.24 = 308.31/x
  3. Step 3: Cross multiply
    345.27x = 515.24 × 308.31
  4. Step 4: Simplify right side
    345.27x = 158,854.23
  5. Step 5: Solve for x
    x = 158,854.23/345.27
  6. Step 6: Final answer
    x = 460.09

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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.