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Finding the Fourth Proportional to 215.76, 322.08 and 195.30

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Solution

The fourth proportional to 215.76, 322.08 and 195.30 is: 291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.76 : 322.08 = 195.30 : x
  2. Step 2: Convert to fraction form
    215.76/322.08 = 195.30/x
  3. Step 3: Cross multiply
    215.76x = 322.08 × 195.30
  4. Step 4: Simplify right side
    215.76x = 62,902.22
  5. Step 5: Solve for x
    x = 62,902.22/215.76
  6. Step 6: Final answer
    x = 291.54

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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.