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Finding the Fourth Proportional to 156.93, 216.47 and 91.42

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Solution

The fourth proportional to 156.93, 216.47 and 91.42 is: 126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.93 : 216.47 = 91.42 : x
  2. Step 2: Convert to fraction form
    156.93/216.47 = 91.42/x
  3. Step 3: Cross multiply
    156.93x = 216.47 × 91.42
  4. Step 4: Simplify right side
    156.93x = 19,788.61
  5. Step 5: Solve for x
    x = 19,788.61/156.93
  6. Step 6: Final answer
    x = 126.10

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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.