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Finding the Fourth Proportional to 489.93, 734.70 and 233.25

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Solution

The fourth proportional to 489.93, 734.70 and 233.25 is: 349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.93 : 734.70 = 233.25 : x
  2. Step 2: Convert to fraction form
    489.93/734.70 = 233.25/x
  3. Step 3: Cross multiply
    489.93x = 734.70 × 233.25
  4. Step 4: Simplify right side
    489.93x = 171,368.78
  5. Step 5: Solve for x
    x = 171,368.78/489.93
  6. Step 6: Final answer
    x = 349.78

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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.