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Finding the Fourth Proportional to 349.77, 523.53 and 316.95

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Solution

The fourth proportional to 349.77, 523.53 and 316.95 is: 474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.77 : 523.53 = 316.95 : x
  2. Step 2: Convert to fraction form
    349.77/523.53 = 316.95/x
  3. Step 3: Cross multiply
    349.77x = 523.53 × 316.95
  4. Step 4: Simplify right side
    349.77x = 165,932.83
  5. Step 5: Solve for x
    x = 165,932.83/349.77
  6. Step 6: Final answer
    x = 474.41

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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.