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Finding the Fourth Proportional to 289.28, 399.12 and 234.08

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Solution

The fourth proportional to 289.28, 399.12 and 234.08 is: 322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.28 : 399.12 = 234.08 : x
  2. Step 2: Convert to fraction form
    289.28/399.12 = 234.08/x
  3. Step 3: Cross multiply
    289.28x = 399.12 × 234.08
  4. Step 4: Simplify right side
    289.28x = 93,426.01
  5. Step 5: Solve for x
    x = 93,426.01/289.28
  6. Step 6: Final answer
    x = 322.96

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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.