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Finding the Fourth Proportional to 377.77, 521.31 and 212.01

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Solution

The fourth proportional to 377.77, 521.31 and 212.01 is: 292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.77 : 521.31 = 212.01 : x
  2. Step 2: Convert to fraction form
    377.77/521.31 = 212.01/x
  3. Step 3: Cross multiply
    377.77x = 521.31 × 212.01
  4. Step 4: Simplify right side
    377.77x = 110,522.93
  5. Step 5: Solve for x
    x = 110,522.93/377.77
  6. Step 6: Final answer
    x = 292.57

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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.