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Finding the Fourth Proportional to 195.05, 292.77 and 143.75

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Solution

The fourth proportional to 195.05, 292.77 and 143.75 is: 215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.05 : 292.77 = 143.75 : x
  2. Step 2: Convert to fraction form
    195.05/292.77 = 143.75/x
  3. Step 3: Cross multiply
    195.05x = 292.77 × 143.75
  4. Step 4: Simplify right side
    195.05x = 42,084.22
  5. Step 5: Solve for x
    x = 42,084.22/195.05
  6. Step 6: Final answer
    x = 215.77

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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.