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Finding the Fourth Proportional to 581.54, 871.95 and 211.16

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Solution

The fourth proportional to 581.54, 871.95 and 211.16 is: 316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.54 : 871.95 = 211.16 : x
  2. Step 2: Convert to fraction form
    581.54/871.95 = 211.16/x
  3. Step 3: Cross multiply
    581.54x = 871.95 × 211.16
  4. Step 4: Simplify right side
    581.54x = 184,123.14
  5. Step 5: Solve for x
    x = 184,123.14/581.54
  6. Step 6: Final answer
    x = 316.62

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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.