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Finding the Fourth Proportional to 156.31, 215.53 and 109.66

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Solution

The fourth proportional to 156.31, 215.53 and 109.66 is: 151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.31 : 215.53 = 109.66 : x
  2. Step 2: Convert to fraction form
    156.31/215.53 = 109.66/x
  3. Step 3: Cross multiply
    156.31x = 215.53 × 109.66
  4. Step 4: Simplify right side
    156.31x = 23,635.02
  5. Step 5: Solve for x
    x = 23,635.02/156.31
  6. Step 6: Final answer
    x = 151.21

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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.