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Finding the Fourth Proportional to 187, 258.51 and 165.10

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Solution

The fourth proportional to 187, 258.51 and 165.10 is: 228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187 : 258.51 = 165.10 : x
  2. Step 2: Convert to fraction form
    187/258.51 = 165.10/x
  3. Step 3: Cross multiply
    187x = 258.51 × 165.10
  4. Step 4: Simplify right side
    187x = 42,680.00
  5. Step 5: Solve for x
    x = 42,680.00/187
  6. Step 6: Final answer
    x = 228.24

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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.