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Finding the Fourth Proportional to 542.77, 814.92 and 336.67

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Solution

The fourth proportional to 542.77, 814.92 and 336.67 is: 505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.77 : 814.92 = 336.67 : x
  2. Step 2: Convert to fraction form
    542.77/814.92 = 336.67/x
  3. Step 3: Cross multiply
    542.77x = 814.92 × 336.67
  4. Step 4: Simplify right side
    542.77x = 274,359.12
  5. Step 5: Solve for x
    x = 274,359.12/542.77
  6. Step 6: Final answer
    x = 505.48

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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.