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Finding the Fourth Proportional to 212.90, 293.73 and 135.32

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Solution

The fourth proportional to 212.90, 293.73 and 135.32 is: 186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.90 : 293.73 = 135.32 : x
  2. Step 2: Convert to fraction form
    212.90/293.73 = 135.32/x
  3. Step 3: Cross multiply
    212.90x = 293.73 × 135.32
  4. Step 4: Simplify right side
    212.90x = 39,747.54
  5. Step 5: Solve for x
    x = 39,747.54/212.90
  6. Step 6: Final answer
    x = 186.70

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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.