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Finding the Fourth Proportional to 157.06, 234.73 and 124.66

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Solution

The fourth proportional to 157.06, 234.73 and 124.66 is: 186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.06 : 234.73 = 124.66 : x
  2. Step 2: Convert to fraction form
    157.06/234.73 = 124.66/x
  3. Step 3: Cross multiply
    157.06x = 234.73 × 124.66
  4. Step 4: Simplify right side
    157.06x = 29,261.44
  5. Step 5: Solve for x
    x = 29,261.44/157.06
  6. Step 6: Final answer
    x = 186.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.