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Finding the Fourth Proportional to 402.08, 603.18 and 185.66

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Solution

The fourth proportional to 402.08, 603.18 and 185.66 is: 278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.08 : 603.18 = 185.66 : x
  2. Step 2: Convert to fraction form
    402.08/603.18 = 185.66/x
  3. Step 3: Cross multiply
    402.08x = 603.18 × 185.66
  4. Step 4: Simplify right side
    402.08x = 111,986.40
  5. Step 5: Solve for x
    x = 111,986.40/402.08
  6. Step 6: Final answer
    x = 278.52

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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.