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Finding the Fourth Proportional to 258.10, 385.07 and 243.70

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Solution

The fourth proportional to 258.10, 385.07 and 243.70 is: 363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.10 : 385.07 = 243.70 : x
  2. Step 2: Convert to fraction form
    258.10/385.07 = 243.70/x
  3. Step 3: Cross multiply
    258.10x = 385.07 × 243.70
  4. Step 4: Simplify right side
    258.10x = 93,840.34
  5. Step 5: Solve for x
    x = 93,840.34/258.10
  6. Step 6: Final answer
    x = 363.58

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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.