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Finding the Fourth Proportional to 489.48, 734.03 and 142.71

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Solution

The fourth proportional to 489.48, 734.03 and 142.71 is: 214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.48 : 734.03 = 142.71 : x
  2. Step 2: Convert to fraction form
    489.48/734.03 = 142.71/x
  3. Step 3: Cross multiply
    489.48x = 734.03 × 142.71
  4. Step 4: Simplify right side
    489.48x = 104,752.71
  5. Step 5: Solve for x
    x = 104,752.71/489.48
  6. Step 6: Final answer
    x = 214.01

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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.