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Finding the Fourth Proportional to 247.49, 369.74 and 160.11

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Solution

The fourth proportional to 247.49, 369.74 and 160.11 is: 239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.49 : 369.74 = 160.11 : x
  2. Step 2: Convert to fraction form
    247.49/369.74 = 160.11/x
  3. Step 3: Cross multiply
    247.49x = 369.74 × 160.11
  4. Step 4: Simplify right side
    247.49x = 59,199.66
  5. Step 5: Solve for x
    x = 59,199.66/247.49
  6. Step 6: Final answer
    x = 239.20

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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.