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Finding the Fourth Proportional to 196.16, 293.13 and 144.90

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Solution

The fourth proportional to 196.16, 293.13 and 144.90 is: 216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.16 : 293.13 = 144.90 : x
  2. Step 2: Convert to fraction form
    196.16/293.13 = 144.90/x
  3. Step 3: Cross multiply
    196.16x = 293.13 × 144.90
  4. Step 4: Simplify right side
    196.16x = 42,474.54
  5. Step 5: Solve for x
    x = 42,474.54/196.16
  6. Step 6: Final answer
    x = 216.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.