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Finding the Fourth Proportional to 156.17, 214.94 and 143.86

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Solution

The fourth proportional to 156.17, 214.94 and 143.86 is: 198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.17 : 214.94 = 143.86 : x
  2. Step 2: Convert to fraction form
    156.17/214.94 = 143.86/x
  3. Step 3: Cross multiply
    156.17x = 214.94 × 143.86
  4. Step 4: Simplify right side
    156.17x = 30,922.20
  5. Step 5: Solve for x
    x = 30,922.20/156.17
  6. Step 6: Final answer
    x = 198.01

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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.