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Finding the Fourth Proportional to 289.01, 399.06 and 233.66

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Solution

The fourth proportional to 289.01, 399.06 and 233.66 is: 322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.01 : 399.06 = 233.66 : x
  2. Step 2: Convert to fraction form
    289.01/399.06 = 233.66/x
  3. Step 3: Cross multiply
    289.01x = 399.06 × 233.66
  4. Step 4: Simplify right side
    289.01x = 93,245.36
  5. Step 5: Solve for x
    x = 93,245.36/289.01
  6. Step 6: Final answer
    x = 322.63

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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.