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Finding the Fourth Proportional to 259.23, 388.71 and 96.79

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Solution

The fourth proportional to 259.23, 388.71 and 96.79 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.23 : 388.71 = 96.79 : x
  2. Step 2: Convert to fraction form
    259.23/388.71 = 96.79/x
  3. Step 3: Cross multiply
    259.23x = 388.71 × 96.79
  4. Step 4: Simplify right side
    259.23x = 37,623.24
  5. Step 5: Solve for x
    x = 37,623.24/259.23
  6. Step 6: Final answer
    x = 145.13

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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.