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Finding the Fourth Proportional to 288.72, 399.24 and 230.40

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Solution

The fourth proportional to 288.72, 399.24 and 230.40 is: 318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.72 : 399.24 = 230.40 : x
  2. Step 2: Convert to fraction form
    288.72/399.24 = 230.40/x
  3. Step 3: Cross multiply
    288.72x = 399.24 × 230.40
  4. Step 4: Simplify right side
    288.72x = 91,984.90
  5. Step 5: Solve for x
    x = 91,984.90/288.72
  6. Step 6: Final answer
    x = 318.60

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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.