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Finding the Fourth Proportional to 364.19, 502.66 and 206.83

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Solution

The fourth proportional to 364.19, 502.66 and 206.83 is: 285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.19 : 502.66 = 206.83 : x
  2. Step 2: Convert to fraction form
    364.19/502.66 = 206.83/x
  3. Step 3: Cross multiply
    364.19x = 502.66 × 206.83
  4. Step 4: Simplify right side
    364.19x = 103,964.13
  5. Step 5: Solve for x
    x = 103,964.13/364.19
  6. Step 6: Final answer
    x = 285.47

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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.