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Finding the Fourth Proportional to 114.06, 157.27 and 93.29

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Solution

The fourth proportional to 114.06, 157.27 and 93.29 is: 128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.06 : 157.27 = 93.29 : x
  2. Step 2: Convert to fraction form
    114.06/157.27 = 93.29/x
  3. Step 3: Cross multiply
    114.06x = 157.27 × 93.29
  4. Step 4: Simplify right side
    114.06x = 14,671.72
  5. Step 5: Solve for x
    x = 14,671.72/114.06
  6. Step 6: Final answer
    x = 128.63

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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.