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Finding the Fourth Proportional to 259.32, 386.61 and 243.84

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Solution

The fourth proportional to 259.32, 386.61 and 243.84 is: 363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.32 : 386.61 = 243.84 : x
  2. Step 2: Convert to fraction form
    259.32/386.61 = 243.84/x
  3. Step 3: Cross multiply
    259.32x = 386.61 × 243.84
  4. Step 4: Simplify right side
    259.32x = 94,270.98
  5. Step 5: Solve for x
    x = 94,270.98/259.32
  6. Step 6: Final answer
    x = 363.53

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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.