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Finding the Fourth Proportional to 345, 517.26 and 247.50

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Solution

The fourth proportional to 345, 517.26 and 247.50 is: 371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345 : 517.26 = 247.50 : x
  2. Step 2: Convert to fraction form
    345/517.26 = 247.50/x
  3. Step 3: Cross multiply
    345x = 517.26 × 247.50
  4. Step 4: Simplify right side
    345x = 128,021.85
  5. Step 5: Solve for x
    x = 128,021.85/345
  6. Step 6: Final answer
    x = 371.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.