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Finding the Fourth Proportional to 214.55, 295.98 and 135.84

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Solution

The fourth proportional to 214.55, 295.98 and 135.84 is: 187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.55 : 295.98 = 135.84 : x
  2. Step 2: Convert to fraction form
    214.55/295.98 = 135.84/x
  3. Step 3: Cross multiply
    214.55x = 295.98 × 135.84
  4. Step 4: Simplify right side
    214.55x = 40,205.58
  5. Step 5: Solve for x
    x = 40,205.58/214.55
  6. Step 6: Final answer
    x = 187.40

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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.