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Finding the Fourth Proportional to 156.08, 215.36 and 135.44

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Solution

The fourth proportional to 156.08, 215.36 and 135.44 is: 186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.08 : 215.36 = 135.44 : x
  2. Step 2: Convert to fraction form
    156.08/215.36 = 135.44/x
  3. Step 3: Cross multiply
    156.08x = 215.36 × 135.44
  4. Step 4: Simplify right side
    156.08x = 29,168.36
  5. Step 5: Solve for x
    x = 29,168.36/156.08
  6. Step 6: Final answer
    x = 186.88

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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.