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Finding the Fourth Proportional to 215.06, 320.79 and 190.76

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Solution

The fourth proportional to 215.06, 320.79 and 190.76 is: 284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.06 : 320.79 = 190.76 : x
  2. Step 2: Convert to fraction form
    215.06/320.79 = 190.76/x
  3. Step 3: Cross multiply
    215.06x = 320.79 × 190.76
  4. Step 4: Simplify right side
    215.06x = 61,193.90
  5. Step 5: Solve for x
    x = 61,193.90/215.06
  6. Step 6: Final answer
    x = 284.54

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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.