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Finding the Fourth Proportional to 354.81, 489.59 and 199.53

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Solution

The fourth proportional to 354.81, 489.59 and 199.53 is: 275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.81 : 489.59 = 199.53 : x
  2. Step 2: Convert to fraction form
    354.81/489.59 = 199.53/x
  3. Step 3: Cross multiply
    354.81x = 489.59 × 199.53
  4. Step 4: Simplify right side
    354.81x = 97,686.90
  5. Step 5: Solve for x
    x = 97,686.90/354.81
  6. Step 6: Final answer
    x = 275.32

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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.