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Finding the Fourth Proportional to 301.16, 415.80 and 203.14

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Solution

The fourth proportional to 301.16, 415.80 and 203.14 is: 280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.16 : 415.80 = 203.14 : x
  2. Step 2: Convert to fraction form
    301.16/415.80 = 203.14/x
  3. Step 3: Cross multiply
    301.16x = 415.80 × 203.14
  4. Step 4: Simplify right side
    301.16x = 84,465.61
  5. Step 5: Solve for x
    x = 84,465.61/301.16
  6. Step 6: Final answer
    x = 280.47

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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.