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Finding the Fourth Proportional to 288.60, 433.24 and 165.30

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Solution

The fourth proportional to 288.60, 433.24 and 165.30 is: 248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.60 : 433.24 = 165.30 : x
  2. Step 2: Convert to fraction form
    288.60/433.24 = 165.30/x
  3. Step 3: Cross multiply
    288.60x = 433.24 × 165.30
  4. Step 4: Simplify right side
    288.60x = 71,614.16
  5. Step 5: Solve for x
    x = 71,614.16/288.60
  6. Step 6: Final answer
    x = 248.14

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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.