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Finding the Fourth Proportional to 375.17, 517.34 and 305.15

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Solution

The fourth proportional to 375.17, 517.34 and 305.15 is: 420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.17 : 517.34 = 305.15 : x
  2. Step 2: Convert to fraction form
    375.17/517.34 = 305.15/x
  3. Step 3: Cross multiply
    375.17x = 517.34 × 305.15
  4. Step 4: Simplify right side
    375.17x = 157,864.48
  5. Step 5: Solve for x
    x = 157,864.48/375.17
  6. Step 6: Final answer
    x = 420.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.