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Finding the Fourth Proportional to 489.84, 735.06 and 215.94

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Solution

The fourth proportional to 489.84, 735.06 and 215.94 is: 324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.84 : 735.06 = 215.94 : x
  2. Step 2: Convert to fraction form
    489.84/735.06 = 215.94/x
  3. Step 3: Cross multiply
    489.84x = 735.06 × 215.94
  4. Step 4: Simplify right side
    489.84x = 158,728.86
  5. Step 5: Solve for x
    x = 158,728.86/489.84
  6. Step 6: Final answer
    x = 324.04

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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.