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Finding the Fourth Proportional to 212.47, 292.86 and 150.22

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Solution

The fourth proportional to 212.47, 292.86 and 150.22 is: 207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.47 : 292.86 = 150.22 : x
  2. Step 2: Convert to fraction form
    212.47/292.86 = 150.22/x
  3. Step 3: Cross multiply
    212.47x = 292.86 × 150.22
  4. Step 4: Simplify right side
    212.47x = 43,992.13
  5. Step 5: Solve for x
    x = 43,992.13/212.47
  6. Step 6: Final answer
    x = 207.05

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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.