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Finding the Fourth Proportional to 212.15, 291.21 and 188.32

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Solution

The fourth proportional to 212.15, 291.21 and 188.32 is: 258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.15 : 291.21 = 188.32 : x
  2. Step 2: Convert to fraction form
    212.15/291.21 = 188.32/x
  3. Step 3: Cross multiply
    212.15x = 291.21 × 188.32
  4. Step 4: Simplify right side
    212.15x = 54,839.21
  5. Step 5: Solve for x
    x = 54,839.21/212.15
  6. Step 6: Final answer
    x = 258.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.