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Finding the Fourth Proportional to 156.80, 214.60 and 155.18

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Solution

The fourth proportional to 156.80, 214.60 and 155.18 is: 212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.80 : 214.60 = 155.18 : x
  2. Step 2: Convert to fraction form
    156.80/214.60 = 155.18/x
  3. Step 3: Cross multiply
    156.80x = 214.60 × 155.18
  4. Step 4: Simplify right side
    156.80x = 33,301.63
  5. Step 5: Solve for x
    x = 33,301.63/156.80
  6. Step 6: Final answer
    x = 212.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.