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Finding the Fourth Proportional to 327.77, 489.43 and 288.94

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Solution

The fourth proportional to 327.77, 489.43 and 288.94 is: 431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.77 : 489.43 = 288.94 : x
  2. Step 2: Convert to fraction form
    327.77/489.43 = 288.94/x
  3. Step 3: Cross multiply
    327.77x = 489.43 × 288.94
  4. Step 4: Simplify right side
    327.77x = 141,415.90
  5. Step 5: Solve for x
    x = 141,415.90/327.77
  6. Step 6: Final answer
    x = 431.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.