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Finding the Fourth Proportional to 214.47, 295.83 and 135.72

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Solution

The fourth proportional to 214.47, 295.83 and 135.72 is: 187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.47 : 295.83 = 135.72 : x
  2. Step 2: Convert to fraction form
    214.47/295.83 = 135.72/x
  3. Step 3: Cross multiply
    214.47x = 295.83 × 135.72
  4. Step 4: Simplify right side
    214.47x = 40,150.05
  5. Step 5: Solve for x
    x = 40,150.05/214.47
  6. Step 6: Final answer
    x = 187.21

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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.