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Finding the Fourth Proportional to 215.57, 322.84 and 124.07

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Solution

The fourth proportional to 215.57, 322.84 and 124.07 is: 185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.57 : 322.84 = 124.07 : x
  2. Step 2: Convert to fraction form
    215.57/322.84 = 124.07/x
  3. Step 3: Cross multiply
    215.57x = 322.84 × 124.07
  4. Step 4: Simplify right side
    215.57x = 40,054.72
  5. Step 5: Solve for x
    x = 40,054.72/215.57
  6. Step 6: Final answer
    x = 185.81

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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.