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Finding the Fourth Proportional to 187.77, 281.18 and 157.26

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Solution

The fourth proportional to 187.77, 281.18 and 157.26 is: 235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.77 : 281.18 = 157.26 : x
  2. Step 2: Convert to fraction form
    187.77/281.18 = 157.26/x
  3. Step 3: Cross multiply
    187.77x = 281.18 × 157.26
  4. Step 4: Simplify right side
    187.77x = 44,216.17
  5. Step 5: Solve for x
    x = 44,216.17/187.77
  6. Step 6: Final answer
    x = 235.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.