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Finding the Fourth Proportional to 377.94, 521.58 and 209.91

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Solution

The fourth proportional to 377.94, 521.58 and 209.91 is: 289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.94 : 521.58 = 209.91 : x
  2. Step 2: Convert to fraction form
    377.94/521.58 = 209.91/x
  3. Step 3: Cross multiply
    377.94x = 521.58 × 209.91
  4. Step 4: Simplify right side
    377.94x = 109,486.61
  5. Step 5: Solve for x
    x = 109,486.61/377.94
  6. Step 6: Final answer
    x = 289.69

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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.