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Finding the Fourth Proportional to 364.25, 502.71 and 209

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Solution

The fourth proportional to 364.25, 502.71 and 209 is: 288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.25 : 502.71 = 209 : x
  2. Step 2: Convert to fraction form
    364.25/502.71 = 209/x
  3. Step 3: Cross multiply
    364.25x = 502.71 × 209
  4. Step 4: Simplify right side
    364.25x = 105,066.39
  5. Step 5: Solve for x
    x = 105,066.39/364.25
  6. Step 6: Final answer
    x = 288.45

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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.