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Finding the Fourth Proportional to 197.01, 295.23 and 145.24

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Solution

The fourth proportional to 197.01, 295.23 and 145.24 is: 217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.01 : 295.23 = 145.24 : x
  2. Step 2: Convert to fraction form
    197.01/295.23 = 145.24/x
  3. Step 3: Cross multiply
    197.01x = 295.23 × 145.24
  4. Step 4: Simplify right side
    197.01x = 42,879.21
  5. Step 5: Solve for x
    x = 42,879.21/197.01
  6. Step 6: Final answer
    x = 217.66

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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.