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Finding the Fourth Proportional to 352.64, 486.66 and 212.78

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Solution

The fourth proportional to 352.64, 486.66 and 212.78 is: 293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.64 : 486.66 = 212.78 : x
  2. Step 2: Convert to fraction form
    352.64/486.66 = 212.78/x
  3. Step 3: Cross multiply
    352.64x = 486.66 × 212.78
  4. Step 4: Simplify right side
    352.64x = 103,551.51
  5. Step 5: Solve for x
    x = 103,551.51/352.64
  6. Step 6: Final answer
    x = 293.65

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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.