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Finding the Fourth Proportional to 215.79, 322.05 and 191.49

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Solution

The fourth proportional to 215.79, 322.05 and 191.49 is: 285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.79 : 322.05 = 191.49 : x
  2. Step 2: Convert to fraction form
    215.79/322.05 = 191.49/x
  3. Step 3: Cross multiply
    215.79x = 322.05 × 191.49
  4. Step 4: Simplify right side
    215.79x = 61,669.35
  5. Step 5: Solve for x
    x = 61,669.35/215.79
  6. Step 6: Final answer
    x = 285.78

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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.