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Finding the Fourth Proportional to 212.78, 293.64 and 135.20

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Solution

The fourth proportional to 212.78, 293.64 and 135.20 is: 186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.78 : 293.64 = 135.20 : x
  2. Step 2: Convert to fraction form
    212.78/293.64 = 135.20/x
  3. Step 3: Cross multiply
    212.78x = 293.64 × 135.20
  4. Step 4: Simplify right side
    212.78x = 39,700.13
  5. Step 5: Solve for x
    x = 39,700.13/212.78
  6. Step 6: Final answer
    x = 186.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.