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Finding the Fourth Proportional to 343.80, 513.75 and 247.80

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Solution

The fourth proportional to 343.80, 513.75 and 247.80 is: 370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.80 : 513.75 = 247.80 : x
  2. Step 2: Convert to fraction form
    343.80/513.75 = 247.80/x
  3. Step 3: Cross multiply
    343.80x = 513.75 × 247.80
  4. Step 4: Simplify right side
    343.80x = 127,307.25
  5. Step 5: Solve for x
    x = 127,307.25/343.80
  6. Step 6: Final answer
    x = 370.29

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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.