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Finding the Fourth Proportional to 214.20, 295.62 and 147.81

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Solution

The fourth proportional to 214.20, 295.62 and 147.81 is: 203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.20 : 295.62 = 147.81 : x
  2. Step 2: Convert to fraction form
    214.20/295.62 = 147.81/x
  3. Step 3: Cross multiply
    214.20x = 295.62 × 147.81
  4. Step 4: Simplify right side
    214.20x = 43,695.59
  5. Step 5: Solve for x
    x = 43,695.59/214.20
  6. Step 6: Final answer
    x = 203.99

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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.