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Finding the Fourth Proportional to 377.99, 567.19 and 158.77

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Solution

The fourth proportional to 377.99, 567.19 and 158.77 is: 238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.99 : 567.19 = 158.77 : x
  2. Step 2: Convert to fraction form
    377.99/567.19 = 158.77/x
  3. Step 3: Cross multiply
    377.99x = 567.19 × 158.77
  4. Step 4: Simplify right side
    377.99x = 90,049.92
  5. Step 5: Solve for x
    x = 90,049.92/377.99
  6. Step 6: Final answer
    x = 238.23

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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.