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Finding the Fourth Proportional to 225.35, 310.42 and 214.42

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Solution

The fourth proportional to 225.35, 310.42 and 214.42 is: 295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.35 : 310.42 = 214.42 : x
  2. Step 2: Convert to fraction form
    225.35/310.42 = 214.42/x
  3. Step 3: Cross multiply
    225.35x = 310.42 × 214.42
  4. Step 4: Simplify right side
    225.35x = 66,557.63
  5. Step 5: Solve for x
    x = 66,557.63/225.35
  6. Step 6: Final answer
    x = 295.35

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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.