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Finding the Fourth Proportional to 401.80, 603.10 and 286.37

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Solution

The fourth proportional to 401.80, 603.10 and 286.37 is: 429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.80 : 603.10 = 286.37 : x
  2. Step 2: Convert to fraction form
    401.80/603.10 = 286.37/x
  3. Step 3: Cross multiply
    401.80x = 603.10 × 286.37
  4. Step 4: Simplify right side
    401.80x = 172,709.75
  5. Step 5: Solve for x
    x = 172,709.75/401.80
  6. Step 6: Final answer
    x = 429.84

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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.