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Finding the Fourth Proportional to 212.93, 293.76 and 157.76

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Solution

The fourth proportional to 212.93, 293.76 and 157.76 is: 217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.93 : 293.76 = 157.76 : x
  2. Step 2: Convert to fraction form
    212.93/293.76 = 157.76/x
  3. Step 3: Cross multiply
    212.93x = 293.76 × 157.76
  4. Step 4: Simplify right side
    212.93x = 46,342.11
  5. Step 5: Solve for x
    x = 46,342.11/212.93
  6. Step 6: Final answer
    x = 217.65

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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.