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Finding the Fourth Proportional to 376.82, 565.08 and 145.65

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Solution

The fourth proportional to 376.82, 565.08 and 145.65 is: 218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.82 : 565.08 = 145.65 : x
  2. Step 2: Convert to fraction form
    376.82/565.08 = 145.65/x
  3. Step 3: Cross multiply
    376.82x = 565.08 × 145.65
  4. Step 4: Simplify right side
    376.82x = 82,303.90
  5. Step 5: Solve for x
    x = 82,303.90/376.82
  6. Step 6: Final answer
    x = 218.42

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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.