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Finding the Fourth Proportional to 402.14, 603.16 and 109.66

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Solution

The fourth proportional to 402.14, 603.16 and 109.66 is: 164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.14 : 603.16 = 109.66 : x
  2. Step 2: Convert to fraction form
    402.14/603.16 = 109.66/x
  3. Step 3: Cross multiply
    402.14x = 603.16 × 109.66
  4. Step 4: Simplify right side
    402.14x = 66,142.53
  5. Step 5: Solve for x
    x = 66,142.53/402.14
  6. Step 6: Final answer
    x = 164.48

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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.