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Finding the Fourth Proportional to 250.76, 345.84 and 188.22

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Solution

The fourth proportional to 250.76, 345.84 and 188.22 is: 259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.76 : 345.84 = 188.22 : x
  2. Step 2: Convert to fraction form
    250.76/345.84 = 188.22/x
  3. Step 3: Cross multiply
    250.76x = 345.84 × 188.22
  4. Step 4: Simplify right side
    250.76x = 65,094.00
  5. Step 5: Solve for x
    x = 65,094.00/250.76
  6. Step 6: Final answer
    x = 259.59

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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.