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Finding the Fourth Proportional to 345.17, 515.10 and 308.22

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Solution

The fourth proportional to 345.17, 515.10 and 308.22 is: 459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.17 : 515.10 = 308.22 : x
  2. Step 2: Convert to fraction form
    345.17/515.10 = 308.22/x
  3. Step 3: Cross multiply
    345.17x = 515.10 × 308.22
  4. Step 4: Simplify right side
    345.17x = 158,764.12
  5. Step 5: Solve for x
    x = 158,764.12/345.17
  6. Step 6: Final answer
    x = 459.96

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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.