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Finding the Fourth Proportional to 214.16, 295.28 and 170.44

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Solution

The fourth proportional to 214.16, 295.28 and 170.44 is: 235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.16 : 295.28 = 170.44 : x
  2. Step 2: Convert to fraction form
    214.16/295.28 = 170.44/x
  3. Step 3: Cross multiply
    214.16x = 295.28 × 170.44
  4. Step 4: Simplify right side
    214.16x = 50,327.52
  5. Step 5: Solve for x
    x = 50,327.52/214.16
  6. Step 6: Final answer
    x = 235.00

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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.