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Finding the Fourth Proportional to 259.02, 386.66 and 243.09

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Solution

The fourth proportional to 259.02, 386.66 and 243.09 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.02 : 386.66 = 243.09 : x
  2. Step 2: Convert to fraction form
    259.02/386.66 = 243.09/x
  3. Step 3: Cross multiply
    259.02x = 386.66 × 243.09
  4. Step 4: Simplify right side
    259.02x = 93,993.79
  5. Step 5: Solve for x
    x = 93,993.79/259.02
  6. Step 6: Final answer
    x = 362.88

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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.