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Finding the Fourth Proportional to 364.11, 545.40 and 286.71

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Solution

The fourth proportional to 364.11, 545.40 and 286.71 is: 429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.11 : 545.40 = 286.71 : x
  2. Step 2: Convert to fraction form
    364.11/545.40 = 286.71/x
  3. Step 3: Cross multiply
    364.11x = 545.40 × 286.71
  4. Step 4: Simplify right side
    364.11x = 156,371.63
  5. Step 5: Solve for x
    x = 156,371.63/364.11
  6. Step 6: Final answer
    x = 429.46

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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.