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Finding the Fourth Proportional to 187.02, 256.86 and 165.15

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Solution

The fourth proportional to 187.02, 256.86 and 165.15 is: 226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.02 : 256.86 = 165.15 : x
  2. Step 2: Convert to fraction form
    187.02/256.86 = 165.15/x
  3. Step 3: Cross multiply
    187.02x = 256.86 × 165.15
  4. Step 4: Simplify right side
    187.02x = 42,420.43
  5. Step 5: Solve for x
    x = 42,420.43/187.02
  6. Step 6: Final answer
    x = 226.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.