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Finding the Fourth Proportional to 214.35, 295.78 and 127

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Solution

The fourth proportional to 214.35, 295.78 and 127 is: 175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.35 : 295.78 = 127 : x
  2. Step 2: Convert to fraction form
    214.35/295.78 = 127/x
  3. Step 3: Cross multiply
    214.35x = 295.78 × 127
  4. Step 4: Simplify right side
    214.35x = 37,564.06
  5. Step 5: Solve for x
    x = 37,564.06/214.35
  6. Step 6: Final answer
    x = 175.25

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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.