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Finding the Fourth Proportional to 364.31, 502.63 and 209.03

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Solution

The fourth proportional to 364.31, 502.63 and 209.03 is: 288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.31 : 502.63 = 209.03 : x
  2. Step 2: Convert to fraction form
    364.31/502.63 = 209.03/x
  3. Step 3: Cross multiply
    364.31x = 502.63 × 209.03
  4. Step 4: Simplify right side
    364.31x = 105,064.75
  5. Step 5: Solve for x
    x = 105,064.75/364.31
  6. Step 6: Final answer
    x = 288.39

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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.