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Finding the Fourth Proportional to 214.89, 296.55 and 137.25

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Solution

The fourth proportional to 214.89, 296.55 and 137.25 is: 189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.89 : 296.55 = 137.25 : x
  2. Step 2: Convert to fraction form
    214.89/296.55 = 137.25/x
  3. Step 3: Cross multiply
    214.89x = 296.55 × 137.25
  4. Step 4: Simplify right side
    214.89x = 40,701.49
  5. Step 5: Solve for x
    x = 40,701.49/214.89
  6. Step 6: Final answer
    x = 189.41

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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.