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Finding the Fourth Proportional to 307.18, 423.48 and 233.11

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Solution

The fourth proportional to 307.18, 423.48 and 233.11 is: 321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.18 : 423.48 = 233.11 : x
  2. Step 2: Convert to fraction form
    307.18/423.48 = 233.11/x
  3. Step 3: Cross multiply
    307.18x = 423.48 × 233.11
  4. Step 4: Simplify right side
    307.18x = 98,717.42
  5. Step 5: Solve for x
    x = 98,717.42/307.18
  6. Step 6: Final answer
    x = 321.37

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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.