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Finding the Fourth Proportional to 219.72, 328.29 and 171.66

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Solution

The fourth proportional to 219.72, 328.29 and 171.66 is: 256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.72 : 328.29 = 171.66 : x
  2. Step 2: Convert to fraction form
    219.72/328.29 = 171.66/x
  3. Step 3: Cross multiply
    219.72x = 328.29 × 171.66
  4. Step 4: Simplify right side
    219.72x = 56,354.26
  5. Step 5: Solve for x
    x = 56,354.26/219.72
  6. Step 6: Final answer
    x = 256.48

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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.