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Finding the Fourth Proportional to 364.78, 503.34 and 209.50

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Solution

The fourth proportional to 364.78, 503.34 and 209.50 is: 289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 503.34 = 209.50 : x
  2. Step 2: Convert to fraction form
    364.78/503.34 = 209.50/x
  3. Step 3: Cross multiply
    364.78x = 503.34 × 209.50
  4. Step 4: Simplify right side
    364.78x = 105,449.73
  5. Step 5: Solve for x
    x = 105,449.73/364.78
  6. Step 6: Final answer
    x = 289.08

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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.