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Finding the Fourth Proportional to 355.08, 489.88 and 199.80

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Solution

The fourth proportional to 355.08, 489.88 and 199.80 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.08 : 489.88 = 199.80 : x
  2. Step 2: Convert to fraction form
    355.08/489.88 = 199.80/x
  3. Step 3: Cross multiply
    355.08x = 489.88 × 199.80
  4. Step 4: Simplify right side
    355.08x = 97,878.02
  5. Step 5: Solve for x
    x = 97,878.02/355.08
  6. Step 6: Final answer
    x = 275.65

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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.