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Finding the Fourth Proportional to 301.01, 415.61 and 203.00

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Solution

The fourth proportional to 301.01, 415.61 and 203.00 is: 280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.01 : 415.61 = 203.00 : x
  2. Step 2: Convert to fraction form
    301.01/415.61 = 203.00/x
  3. Step 3: Cross multiply
    301.01x = 415.61 × 203.00
  4. Step 4: Simplify right side
    301.01x = 84,365.74
  5. Step 5: Solve for x
    x = 84,365.74/301.01
  6. Step 6: Final answer
    x = 280.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.