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Finding the Fourth Proportional to 156.16, 215.34 and 134.09

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Solution

The fourth proportional to 156.16, 215.34 and 134.09 is: 184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 215.34 = 134.09 : x
  2. Step 2: Convert to fraction form
    156.16/215.34 = 134.09/x
  3. Step 3: Cross multiply
    156.16x = 215.34 × 134.09
  4. Step 4: Simplify right side
    156.16x = 28,874.94
  5. Step 5: Solve for x
    x = 28,874.94/156.16
  6. Step 6: Final answer
    x = 184.91

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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.