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Finding the Fourth Proportional to 214.19, 295.77 and 170.72

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Solution

The fourth proportional to 214.19, 295.77 and 170.72 is: 235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.19 : 295.77 = 170.72 : x
  2. Step 2: Convert to fraction form
    214.19/295.77 = 170.72/x
  3. Step 3: Cross multiply
    214.19x = 295.77 × 170.72
  4. Step 4: Simplify right side
    214.19x = 50,493.85
  5. Step 5: Solve for x
    x = 50,493.85/214.19
  6. Step 6: Final answer
    x = 235.74

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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.