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Finding the Fourth Proportional to 261.18, 388.89 and 259.37

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Solution

The fourth proportional to 261.18, 388.89 and 259.37 is: 386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.18 : 388.89 = 259.37 : x
  2. Step 2: Convert to fraction form
    261.18/388.89 = 259.37/x
  3. Step 3: Cross multiply
    261.18x = 388.89 × 259.37
  4. Step 4: Simplify right side
    261.18x = 100,864.45
  5. Step 5: Solve for x
    x = 100,864.45/261.18
  6. Step 6: Final answer
    x = 386.19

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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.