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Finding the Fourth Proportional to 215.84, 325.05 and 189.11

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Solution

The fourth proportional to 215.84, 325.05 and 189.11 is: 284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.84 : 325.05 = 189.11 : x
  2. Step 2: Convert to fraction form
    215.84/325.05 = 189.11/x
  3. Step 3: Cross multiply
    215.84x = 325.05 × 189.11
  4. Step 4: Simplify right side
    215.84x = 61,470.21
  5. Step 5: Solve for x
    x = 61,470.21/215.84
  6. Step 6: Final answer
    x = 284.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.