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Finding the Fourth Proportional to 288.99, 433.07 and 186.21

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Solution

The fourth proportional to 288.99, 433.07 and 186.21 is: 279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.99 : 433.07 = 186.21 : x
  2. Step 2: Convert to fraction form
    288.99/433.07 = 186.21/x
  3. Step 3: Cross multiply
    288.99x = 433.07 × 186.21
  4. Step 4: Simplify right side
    288.99x = 80,641.73
  5. Step 5: Solve for x
    x = 80,641.73/288.99
  6. Step 6: Final answer
    x = 279.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.