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Finding the Fourth Proportional to 212.90, 294.08 and 157.92

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Solution

The fourth proportional to 212.90, 294.08 and 157.92 is: 218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.90 : 294.08 = 157.92 : x
  2. Step 2: Convert to fraction form
    212.90/294.08 = 157.92/x
  3. Step 3: Cross multiply
    212.90x = 294.08 × 157.92
  4. Step 4: Simplify right side
    212.90x = 46,442.07
  5. Step 5: Solve for x
    x = 46,442.07/212.90
  6. Step 6: Final answer
    x = 218.14

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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.