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Finding the Fourth Proportional to 157.27, 216.81 and 112.93

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Solution

The fourth proportional to 157.27, 216.81 and 112.93 is: 155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.27 : 216.81 = 112.93 : x
  2. Step 2: Convert to fraction form
    157.27/216.81 = 112.93/x
  3. Step 3: Cross multiply
    157.27x = 216.81 × 112.93
  4. Step 4: Simplify right side
    157.27x = 24,484.35
  5. Step 5: Solve for x
    x = 24,484.35/157.27
  6. Step 6: Final answer
    x = 155.68

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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.