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Finding the Fourth Proportional to 259.24, 386.48 and 243.04

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Solution

The fourth proportional to 259.24, 386.48 and 243.04 is: 362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.24 : 386.48 = 243.04 : x
  2. Step 2: Convert to fraction form
    259.24/386.48 = 243.04/x
  3. Step 3: Cross multiply
    259.24x = 386.48 × 243.04
  4. Step 4: Simplify right side
    259.24x = 93,930.10
  5. Step 5: Solve for x
    x = 93,930.10/259.24
  6. Step 6: Final answer
    x = 362.33

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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.