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Finding the Fourth Proportional to 402.12, 603.30 and 231

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Solution

The fourth proportional to 402.12, 603.30 and 231 is: 346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.12 : 603.30 = 231 : x
  2. Step 2: Convert to fraction form
    402.12/603.30 = 231/x
  3. Step 3: Cross multiply
    402.12x = 603.30 × 231
  4. Step 4: Simplify right side
    402.12x = 139,362.30
  5. Step 5: Solve for x
    x = 139,362.30/402.12
  6. Step 6: Final answer
    x = 346.57

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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.