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Finding the Fourth Proportional to 378.81, 565.92 and 240.75

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Solution

The fourth proportional to 378.81, 565.92 and 240.75 is: 359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.81 : 565.92 = 240.75 : x
  2. Step 2: Convert to fraction form
    378.81/565.92 = 240.75/x
  3. Step 3: Cross multiply
    378.81x = 565.92 × 240.75
  4. Step 4: Simplify right side
    378.81x = 136,245.24
  5. Step 5: Solve for x
    x = 136,245.24/378.81
  6. Step 6: Final answer
    x = 359.67

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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.