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Finding the Fourth Proportional to 259.33, 389.07 and 86.01

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Solution

The fourth proportional to 259.33, 389.07 and 86.01 is: 129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.33 : 389.07 = 86.01 : x
  2. Step 2: Convert to fraction form
    259.33/389.07 = 86.01/x
  3. Step 3: Cross multiply
    259.33x = 389.07 × 86.01
  4. Step 4: Simplify right side
    259.33x = 33,463.48
  5. Step 5: Solve for x
    x = 33,463.48/259.33
  6. Step 6: Final answer
    x = 129.04

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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.