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Finding the Fourth Proportional to 342.89, 473.01 and 211.67

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Solution

The fourth proportional to 342.89, 473.01 and 211.67 is: 291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.89 : 473.01 = 211.67 : x
  2. Step 2: Convert to fraction form
    342.89/473.01 = 211.67/x
  3. Step 3: Cross multiply
    342.89x = 473.01 × 211.67
  4. Step 4: Simplify right side
    342.89x = 100,122.03
  5. Step 5: Solve for x
    x = 100,122.03/342.89
  6. Step 6: Final answer
    x = 291.99

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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.