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Finding the Fourth Proportional to 215.51, 322.77 and 198.65

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Solution

The fourth proportional to 215.51, 322.77 and 198.65 is: 297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.51 : 322.77 = 198.65 : x
  2. Step 2: Convert to fraction form
    215.51/322.77 = 198.65/x
  3. Step 3: Cross multiply
    215.51x = 322.77 × 198.65
  4. Step 4: Simplify right side
    215.51x = 64,119.53
  5. Step 5: Solve for x
    x = 64,119.53/215.51
  6. Step 6: Final answer
    x = 297.52

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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.