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Finding the Fourth Proportional to 489.87, 734.58 and 165.15

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Solution

The fourth proportional to 489.87, 734.58 and 165.15 is: 247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.87 : 734.58 = 165.15 : x
  2. Step 2: Convert to fraction form
    489.87/734.58 = 165.15/x
  3. Step 3: Cross multiply
    489.87x = 734.58 × 165.15
  4. Step 4: Simplify right side
    489.87x = 121,315.89
  5. Step 5: Solve for x
    x = 121,315.89/489.87
  6. Step 6: Final answer
    x = 247.65

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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.