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Finding the Fourth Proportional to 258.12, 385.44 and 203.40

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Solution

The fourth proportional to 258.12, 385.44 and 203.40 is: 303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.12 : 385.44 = 203.40 : x
  2. Step 2: Convert to fraction form
    258.12/385.44 = 203.40/x
  3. Step 3: Cross multiply
    258.12x = 385.44 × 203.40
  4. Step 4: Simplify right side
    258.12x = 78,398.50
  5. Step 5: Solve for x
    x = 78,398.50/258.12
  6. Step 6: Final answer
    x = 303.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.