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Finding the Fourth Proportional to 377.32, 565.80 and 161.08

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Solution

The fourth proportional to 377.32, 565.80 and 161.08 is: 241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.32 : 565.80 = 161.08 : x
  2. Step 2: Convert to fraction form
    377.32/565.80 = 161.08/x
  3. Step 3: Cross multiply
    377.32x = 565.80 × 161.08
  4. Step 4: Simplify right side
    377.32x = 91,139.06
  5. Step 5: Solve for x
    x = 91,139.06/377.32
  6. Step 6: Final answer
    x = 241.54

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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.