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Finding the Fourth Proportional to 247.69, 341.80 and 149.43

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Solution

The fourth proportional to 247.69, 341.80 and 149.43 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.69 : 341.80 = 149.43 : x
  2. Step 2: Convert to fraction form
    247.69/341.80 = 149.43/x
  3. Step 3: Cross multiply
    247.69x = 341.80 × 149.43
  4. Step 4: Simplify right side
    247.69x = 51,075.17
  5. Step 5: Solve for x
    x = 51,075.17/247.69
  6. Step 6: Final answer
    x = 206.21

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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.