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Finding the Fourth Proportional to 798.76, 1,197.98 and 221.48

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Solution

The fourth proportional to 798.76, 1,197.98 and 221.48 is: 332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.76 : 1,197.98 = 221.48 : x
  2. Step 2: Convert to fraction form
    798.76/1,197.98 = 221.48/x
  3. Step 3: Cross multiply
    798.76x = 1,197.98 × 221.48
  4. Step 4: Simplify right side
    798.76x = 265,328.61
  5. Step 5: Solve for x
    x = 265,328.61/798.76
  6. Step 6: Final answer
    x = 332.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.