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Finding the Fourth Proportional to 288.65, 433.34 and 287.34

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Solution

The fourth proportional to 288.65, 433.34 and 287.34 is: 431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.65 : 433.34 = 287.34 : x
  2. Step 2: Convert to fraction form
    288.65/433.34 = 287.34/x
  3. Step 3: Cross multiply
    288.65x = 433.34 × 287.34
  4. Step 4: Simplify right side
    288.65x = 124,515.92
  5. Step 5: Solve for x
    x = 124,515.92/288.65
  6. Step 6: Final answer
    x = 431.37

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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.