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Finding the Fourth Proportional to 364.38, 545.86 and 286.93

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Solution

The fourth proportional to 364.38, 545.86 and 286.93 is: 429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.38 : 545.86 = 286.93 : x
  2. Step 2: Convert to fraction form
    364.38/545.86 = 286.93/x
  3. Step 3: Cross multiply
    364.38x = 545.86 × 286.93
  4. Step 4: Simplify right side
    364.38x = 156,623.61
  5. Step 5: Solve for x
    x = 156,623.61/364.38
  6. Step 6: Final answer
    x = 429.84

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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.