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Finding the Fourth Proportional to 403.01, 604.04 and 186.13

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Solution

The fourth proportional to 403.01, 604.04 and 186.13 is: 278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.01 : 604.04 = 186.13 : x
  2. Step 2: Convert to fraction form
    403.01/604.04 = 186.13/x
  3. Step 3: Cross multiply
    403.01x = 604.04 × 186.13
  4. Step 4: Simplify right side
    403.01x = 112,426.01
  5. Step 5: Solve for x
    x = 112,426.01/403.01
  6. Step 6: Final answer
    x = 278.97

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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.