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Finding the Fourth Proportional to 377.71, 565.15 and 262.38

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Solution

The fourth proportional to 377.71, 565.15 and 262.38 is: 392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.71 : 565.15 = 262.38 : x
  2. Step 2: Convert to fraction form
    377.71/565.15 = 262.38/x
  3. Step 3: Cross multiply
    377.71x = 565.15 × 262.38
  4. Step 4: Simplify right side
    377.71x = 148,284.06
  5. Step 5: Solve for x
    x = 148,284.06/377.71
  6. Step 6: Final answer
    x = 392.59

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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.