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Finding the Fourth Proportional to 377.79, 565.62 and 286.20

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Solution

The fourth proportional to 377.79, 565.62 and 286.20 is: 428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.79 : 565.62 = 286.20 : x
  2. Step 2: Convert to fraction form
    377.79/565.62 = 286.20/x
  3. Step 3: Cross multiply
    377.79x = 565.62 × 286.20
  4. Step 4: Simplify right side
    377.79x = 161,880.44
  5. Step 5: Solve for x
    x = 161,880.44/377.79
  6. Step 6: Final answer
    x = 428.49

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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.