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Finding the Fourth Proportional to 376.42, 561.07 and 346.66

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Solution

The fourth proportional to 376.42, 561.07 and 346.66 is: 516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.42 : 561.07 = 346.66 : x
  2. Step 2: Convert to fraction form
    376.42/561.07 = 346.66/x
  3. Step 3: Cross multiply
    376.42x = 561.07 × 346.66
  4. Step 4: Simplify right side
    376.42x = 194,500.53
  5. Step 5: Solve for x
    x = 194,500.53/376.42
  6. Step 6: Final answer
    x = 516.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.