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Finding the Fourth Proportional to 156.80, 233.86 and 143.84

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Solution

The fourth proportional to 156.80, 233.86 and 143.84 is: 214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.80 : 233.86 = 143.84 : x
  2. Step 2: Convert to fraction form
    156.80/233.86 = 143.84/x
  3. Step 3: Cross multiply
    156.80x = 233.86 × 143.84
  4. Step 4: Simplify right side
    156.80x = 33,638.42
  5. Step 5: Solve for x
    x = 33,638.42/156.80
  6. Step 6: Final answer
    x = 214.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.