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Finding the Fourth Proportional to 258.54, 385.80 and 243.06

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Solution

The fourth proportional to 258.54, 385.80 and 243.06 is: 362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.54 : 385.80 = 243.06 : x
  2. Step 2: Convert to fraction form
    258.54/385.80 = 243.06/x
  3. Step 3: Cross multiply
    258.54x = 385.80 × 243.06
  4. Step 4: Simplify right side
    258.54x = 93,772.55
  5. Step 5: Solve for x
    x = 93,772.55/258.54
  6. Step 6: Final answer
    x = 362.70

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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.