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Finding the Fourth Proportional to 325.84, 488.78 and 109.40

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Solution

The fourth proportional to 325.84, 488.78 and 109.40 is: 164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.84 : 488.78 = 109.40 : x
  2. Step 2: Convert to fraction form
    325.84/488.78 = 109.40/x
  3. Step 3: Cross multiply
    325.84x = 488.78 × 109.40
  4. Step 4: Simplify right side
    325.84x = 53,472.53
  5. Step 5: Solve for x
    x = 53,472.53/325.84
  6. Step 6: Final answer
    x = 164.11

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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.