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Finding the Fourth Proportional to 214.94, 297.11 and 179.77

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Solution

The fourth proportional to 214.94, 297.11 and 179.77 is: 248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.94 : 297.11 = 179.77 : x
  2. Step 2: Convert to fraction form
    214.94/297.11 = 179.77/x
  3. Step 3: Cross multiply
    214.94x = 297.11 × 179.77
  4. Step 4: Simplify right side
    214.94x = 53,411.46
  5. Step 5: Solve for x
    x = 53,411.46/214.94
  6. Step 6: Final answer
    x = 248.49

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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.