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Finding the Fourth Proportional to 114.05, 157.43 and 74.74

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Solution

The fourth proportional to 114.05, 157.43 and 74.74 is: 103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.05 : 157.43 = 74.74 : x
  2. Step 2: Convert to fraction form
    114.05/157.43 = 74.74/x
  3. Step 3: Cross multiply
    114.05x = 157.43 × 74.74
  4. Step 4: Simplify right side
    114.05x = 11,765.16
  5. Step 5: Solve for x
    x = 11,765.16/114.05
  6. Step 6: Final answer
    x = 103.16

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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.