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Finding the Fourth Proportional to 364.15, 502.50 and 206.77

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Solution

The fourth proportional to 364.15, 502.50 and 206.77 is: 285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.15 : 502.50 = 206.77 : x
  2. Step 2: Convert to fraction form
    364.15/502.50 = 206.77/x
  3. Step 3: Cross multiply
    364.15x = 502.50 × 206.77
  4. Step 4: Simplify right side
    364.15x = 103,901.93
  5. Step 5: Solve for x
    x = 103,901.93/364.15
  6. Step 6: Final answer
    x = 285.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.