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Finding the Fourth Proportional to 364.62, 544.45 and 286.71

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Solution

The fourth proportional to 364.62, 544.45 and 286.71 is: 428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.62 : 544.45 = 286.71 : x
  2. Step 2: Convert to fraction form
    364.62/544.45 = 286.71/x
  3. Step 3: Cross multiply
    364.62x = 544.45 × 286.71
  4. Step 4: Simplify right side
    364.62x = 156,096.54
  5. Step 5: Solve for x
    x = 156,096.54/364.62
  6. Step 6: Final answer
    x = 428.11

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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.