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Finding the Fourth Proportional to 325.78, 489.08 and 308.77

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Solution

The fourth proportional to 325.78, 489.08 and 308.77 is: 463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.78 : 489.08 = 308.77 : x
  2. Step 2: Convert to fraction form
    325.78/489.08 = 308.77/x
  3. Step 3: Cross multiply
    325.78x = 489.08 × 308.77
  4. Step 4: Simplify right side
    325.78x = 151,012.78
  5. Step 5: Solve for x
    x = 151,012.78/325.78
  6. Step 6: Final answer
    x = 463.55

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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.