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Finding the Fourth Proportional to 186.20, 258.74 and 184.32

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Solution

The fourth proportional to 186.20, 258.74 and 184.32 is: 256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.20 : 258.74 = 184.32 : x
  2. Step 2: Convert to fraction form
    186.20/258.74 = 184.32/x
  3. Step 3: Cross multiply
    186.20x = 258.74 × 184.32
  4. Step 4: Simplify right side
    186.20x = 47,690.96
  5. Step 5: Solve for x
    x = 47,690.96/186.20
  6. Step 6: Final answer
    x = 256.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.