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Finding the Fourth Proportional to 219.72, 302.85 and 173.10

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Solution

The fourth proportional to 219.72, 302.85 and 173.10 is: 238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.72 : 302.85 = 173.10 : x
  2. Step 2: Convert to fraction form
    219.72/302.85 = 173.10/x
  3. Step 3: Cross multiply
    219.72x = 302.85 × 173.10
  4. Step 4: Simplify right side
    219.72x = 52,423.34
  5. Step 5: Solve for x
    x = 52,423.34/219.72
  6. Step 6: Final answer
    x = 238.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.