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Finding the Fourth Proportional to 212.10, 292.05 and 159.72

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Solution

The fourth proportional to 212.10, 292.05 and 159.72 is: 219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.10 : 292.05 = 159.72 : x
  2. Step 2: Convert to fraction form
    212.10/292.05 = 159.72/x
  3. Step 3: Cross multiply
    212.10x = 292.05 × 159.72
  4. Step 4: Simplify right side
    212.10x = 46,646.23
  5. Step 5: Solve for x
    x = 46,646.23/212.10
  6. Step 6: Final answer
    x = 219.93

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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.