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Finding the Fourth Proportional to 402.10, 603.36 and 237.80

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Solution

The fourth proportional to 402.10, 603.36 and 237.80 is: 356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.10 : 603.36 = 237.80 : x
  2. Step 2: Convert to fraction form
    402.10/603.36 = 237.80/x
  3. Step 3: Cross multiply
    402.10x = 603.36 × 237.80
  4. Step 4: Simplify right side
    402.10x = 143,479.01
  5. Step 5: Solve for x
    x = 143,479.01/402.10
  6. Step 6: Final answer
    x = 356.82

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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.