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Finding the Fourth Proportional to 196.93, 294.75 and 145.55

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Solution

The fourth proportional to 196.93, 294.75 and 145.55 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.93 : 294.75 = 145.55 : x
  2. Step 2: Convert to fraction form
    196.93/294.75 = 145.55/x
  3. Step 3: Cross multiply
    196.93x = 294.75 × 145.55
  4. Step 4: Simplify right side
    196.93x = 42,900.86
  5. Step 5: Solve for x
    x = 42,900.86/196.93
  6. Step 6: Final answer
    x = 217.85

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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.