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Finding the Fourth Proportional to 214.34, 295.28 and 201.58

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Solution

The fourth proportional to 214.34, 295.28 and 201.58 is: 277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.34 : 295.28 = 201.58 : x
  2. Step 2: Convert to fraction form
    214.34/295.28 = 201.58/x
  3. Step 3: Cross multiply
    214.34x = 295.28 × 201.58
  4. Step 4: Simplify right side
    214.34x = 59,522.54
  5. Step 5: Solve for x
    x = 59,522.54/214.34
  6. Step 6: Final answer
    x = 277.70

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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.