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Finding the Fourth Proportional to 114.29, 157.70 and 91.03

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Solution

The fourth proportional to 114.29, 157.70 and 91.03 is: 125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.29 : 157.70 = 91.03 : x
  2. Step 2: Convert to fraction form
    114.29/157.70 = 91.03/x
  3. Step 3: Cross multiply
    114.29x = 157.70 × 91.03
  4. Step 4: Simplify right side
    114.29x = 14,355.43
  5. Step 5: Solve for x
    x = 14,355.43/114.29
  6. Step 6: Final answer
    x = 125.61

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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.