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Finding the Fourth Proportional to 214.39, 295.08 and 187.66

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Solution

The fourth proportional to 214.39, 295.08 and 187.66 is: 258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.39 : 295.08 = 187.66 : x
  2. Step 2: Convert to fraction form
    214.39/295.08 = 187.66/x
  3. Step 3: Cross multiply
    214.39x = 295.08 × 187.66
  4. Step 4: Simplify right side
    214.39x = 55,374.71
  5. Step 5: Solve for x
    x = 55,374.71/214.39
  6. Step 6: Final answer
    x = 258.29

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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.