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Finding the Fourth Proportional to 215.27, 322.76 and 174.19

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Solution

The fourth proportional to 215.27, 322.76 and 174.19 is: 261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.27 : 322.76 = 174.19 : x
  2. Step 2: Convert to fraction form
    215.27/322.76 = 174.19/x
  3. Step 3: Cross multiply
    215.27x = 322.76 × 174.19
  4. Step 4: Simplify right side
    215.27x = 56,219.08
  5. Step 5: Solve for x
    x = 56,219.08/215.27
  6. Step 6: Final answer
    x = 261.16

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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.