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Finding the Fourth Proportional to 489.46, 734.08 and 142.80

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Solution

The fourth proportional to 489.46, 734.08 and 142.80 is: 214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.46 : 734.08 = 142.80 : x
  2. Step 2: Convert to fraction form
    489.46/734.08 = 142.80/x
  3. Step 3: Cross multiply
    489.46x = 734.08 × 142.80
  4. Step 4: Simplify right side
    489.46x = 104,826.62
  5. Step 5: Solve for x
    x = 104,826.62/489.46
  6. Step 6: Final answer
    x = 214.17

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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.