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Finding the Fourth Proportional to 377.18, 520.35 and 266.66

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Solution

The fourth proportional to 377.18, 520.35 and 266.66 is: 367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.18 : 520.35 = 266.66 : x
  2. Step 2: Convert to fraction form
    377.18/520.35 = 266.66/x
  3. Step 3: Cross multiply
    377.18x = 520.35 × 266.66
  4. Step 4: Simplify right side
    377.18x = 138,756.53
  5. Step 5: Solve for x
    x = 138,756.53/377.18
  6. Step 6: Final answer
    x = 367.88

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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.