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Finding the Fourth Proportional to 214.54, 295.94 and 135.77

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Solution

The fourth proportional to 214.54, 295.94 and 135.77 is: 187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.54 : 295.94 = 135.77 : x
  2. Step 2: Convert to fraction form
    214.54/295.94 = 135.77/x
  3. Step 3: Cross multiply
    214.54x = 295.94 × 135.77
  4. Step 4: Simplify right side
    214.54x = 40,178.63
  5. Step 5: Solve for x
    x = 40,178.63/214.54
  6. Step 6: Final answer
    x = 187.28

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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.