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Finding the Fourth Proportional to 402.76, 603.78 and 210.34

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Solution

The fourth proportional to 402.76, 603.78 and 210.34 is: 315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.76 : 603.78 = 210.34 : x
  2. Step 2: Convert to fraction form
    402.76/603.78 = 210.34/x
  3. Step 3: Cross multiply
    402.76x = 603.78 × 210.34
  4. Step 4: Simplify right side
    402.76x = 126,999.09
  5. Step 5: Solve for x
    x = 126,999.09/402.76
  6. Step 6: Final answer
    x = 315.32

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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.