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Finding the Fourth Proportional to 214.40, 295.85 and 135.77

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Solution

The fourth proportional to 214.40, 295.85 and 135.77 is: 187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.40 : 295.85 = 135.77 : x
  2. Step 2: Convert to fraction form
    214.40/295.85 = 135.77/x
  3. Step 3: Cross multiply
    214.40x = 295.85 × 135.77
  4. Step 4: Simplify right side
    214.40x = 40,166.41
  5. Step 5: Solve for x
    x = 40,166.41/214.40
  6. Step 6: Final answer
    x = 187.34

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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.