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Finding the Fourth Proportional to 377.85, 521.74 and 253.62

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Solution

The fourth proportional to 377.85, 521.74 and 253.62 is: 350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.85 : 521.74 = 253.62 : x
  2. Step 2: Convert to fraction form
    377.85/521.74 = 253.62/x
  3. Step 3: Cross multiply
    377.85x = 521.74 × 253.62
  4. Step 4: Simplify right side
    377.85x = 132,323.70
  5. Step 5: Solve for x
    x = 132,323.70/377.85
  6. Step 6: Final answer
    x = 350.20

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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.