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Finding the Fourth Proportional to 421.34, 630.62 and 233.43

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Solution

The fourth proportional to 421.34, 630.62 and 233.43 is: 349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.34 : 630.62 = 233.43 : x
  2. Step 2: Convert to fraction form
    421.34/630.62 = 233.43/x
  3. Step 3: Cross multiply
    421.34x = 630.62 × 233.43
  4. Step 4: Simplify right side
    421.34x = 147,206.82
  5. Step 5: Solve for x
    x = 147,206.82/421.34
  6. Step 6: Final answer
    x = 349.38

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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.