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Finding the Fourth Proportional to 247.17, 369 and 219.83

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Solution

The fourth proportional to 247.17, 369 and 219.83 is: 328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.17 : 369 = 219.83 : x
  2. Step 2: Convert to fraction form
    247.17/369 = 219.83/x
  3. Step 3: Cross multiply
    247.17x = 369 × 219.83
  4. Step 4: Simplify right side
    247.17x = 81,117.50
  5. Step 5: Solve for x
    x = 81,117.50/247.17
  6. Step 6: Final answer
    x = 328.19

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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.