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Finding the Fourth Proportional to 259.19, 357.66 and 159.65

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Solution

The fourth proportional to 259.19, 357.66 and 159.65 is: 220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.19 : 357.66 = 159.65 : x
  2. Step 2: Convert to fraction form
    259.19/357.66 = 159.65/x
  3. Step 3: Cross multiply
    259.19x = 357.66 × 159.65
  4. Step 4: Simplify right side
    259.19x = 57,100.42
  5. Step 5: Solve for x
    x = 57,100.42/259.19
  6. Step 6: Final answer
    x = 220.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.