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Finding the Fourth Proportional to 402.37, 603.42 and 142.30

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Solution

The fourth proportional to 402.37, 603.42 and 142.30 is: 213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.37 : 603.42 = 142.30 : x
  2. Step 2: Convert to fraction form
    402.37/603.42 = 142.30/x
  3. Step 3: Cross multiply
    402.37x = 603.42 × 142.30
  4. Step 4: Simplify right side
    402.37x = 85,866.67
  5. Step 5: Solve for x
    x = 85,866.67/402.37
  6. Step 6: Final answer
    x = 213.40

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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.