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Finding the Fourth Proportional to 247.64, 341.76 and 149.34

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Solution

The fourth proportional to 247.64, 341.76 and 149.34 is: 206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.64 : 341.76 = 149.34 : x
  2. Step 2: Convert to fraction form
    247.64/341.76 = 149.34/x
  3. Step 3: Cross multiply
    247.64x = 341.76 × 149.34
  4. Step 4: Simplify right side
    247.64x = 51,039.23
  5. Step 5: Solve for x
    x = 51,039.23/247.64
  6. Step 6: Final answer
    x = 206.10

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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.