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Finding the Fourth Proportional to 301.66, 416.31 and 209.50

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Solution

The fourth proportional to 301.66, 416.31 and 209.50 is: 289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.66 : 416.31 = 209.50 : x
  2. Step 2: Convert to fraction form
    301.66/416.31 = 209.50/x
  3. Step 3: Cross multiply
    301.66x = 416.31 × 209.50
  4. Step 4: Simplify right side
    301.66x = 87,216.95
  5. Step 5: Solve for x
    x = 87,216.95/301.66
  6. Step 6: Final answer
    x = 289.12

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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.