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Finding the Fourth Proportional to 247.81, 369.85 and 220.07

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Solution

The fourth proportional to 247.81, 369.85 and 220.07 is: 328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.81 : 369.85 = 220.07 : x
  2. Step 2: Convert to fraction form
    247.81/369.85 = 220.07/x
  3. Step 3: Cross multiply
    247.81x = 369.85 × 220.07
  4. Step 4: Simplify right side
    247.81x = 81,393.71
  5. Step 5: Solve for x
    x = 81,393.71/247.81
  6. Step 6: Final answer
    x = 328.45

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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.