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Finding the Fourth Proportional to 156.96, 216.61 and 91.47

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Solution

The fourth proportional to 156.96, 216.61 and 91.47 is: 126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.96 : 216.61 = 91.47 : x
  2. Step 2: Convert to fraction form
    156.96/216.61 = 91.47/x
  3. Step 3: Cross multiply
    156.96x = 216.61 × 91.47
  4. Step 4: Simplify right side
    156.96x = 19,812.78
  5. Step 5: Solve for x
    x = 19,812.78/156.96
  6. Step 6: Final answer
    x = 126.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.