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Finding the Fourth Proportional to 196.64, 293.82 and 135.28

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Solution

The fourth proportional to 196.64, 293.82 and 135.28 is: 202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.64 : 293.82 = 135.28 : x
  2. Step 2: Convert to fraction form
    196.64/293.82 = 135.28/x
  3. Step 3: Cross multiply
    196.64x = 293.82 × 135.28
  4. Step 4: Simplify right side
    196.64x = 39,746.50
  5. Step 5: Solve for x
    x = 39,746.50/196.64
  6. Step 6: Final answer
    x = 202.13

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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.