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Finding the Fourth Proportional to 247.07, 341.13 and 158.77

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Solution

The fourth proportional to 247.07, 341.13 and 158.77 is: 219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.07 : 341.13 = 158.77 : x
  2. Step 2: Convert to fraction form
    247.07/341.13 = 158.77/x
  3. Step 3: Cross multiply
    247.07x = 341.13 × 158.77
  4. Step 4: Simplify right side
    247.07x = 54,161.27
  5. Step 5: Solve for x
    x = 54,161.27/247.07
  6. Step 6: Final answer
    x = 219.22

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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.