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Finding the Fourth Proportional to 259.09, 388.65 and 83.42

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Solution

The fourth proportional to 259.09, 388.65 and 83.42 is: 125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.09 : 388.65 = 83.42 : x
  2. Step 2: Convert to fraction form
    259.09/388.65 = 83.42/x
  3. Step 3: Cross multiply
    259.09x = 388.65 × 83.42
  4. Step 4: Simplify right side
    259.09x = 32,421.18
  5. Step 5: Solve for x
    x = 32,421.18/259.09
  6. Step 6: Final answer
    x = 125.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.