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Finding the Fourth Proportional to 212.60, 292.85 and 150.32

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Solution

The fourth proportional to 212.60, 292.85 and 150.32 is: 207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.60 : 292.85 = 150.32 : x
  2. Step 2: Convert to fraction form
    212.60/292.85 = 150.32/x
  3. Step 3: Cross multiply
    212.60x = 292.85 × 150.32
  4. Step 4: Simplify right side
    212.60x = 44,021.21
  5. Step 5: Solve for x
    x = 44,021.21/212.60
  6. Step 6: Final answer
    x = 207.06

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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.