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Finding the Fourth Proportional to 186.23, 256.91 and 112.50

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Solution

The fourth proportional to 186.23, 256.91 and 112.50 is: 155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.23 : 256.91 = 112.50 : x
  2. Step 2: Convert to fraction form
    186.23/256.91 = 112.50/x
  3. Step 3: Cross multiply
    186.23x = 256.91 × 112.50
  4. Step 4: Simplify right side
    186.23x = 28,903.44
  5. Step 5: Solve for x
    x = 28,903.44/186.23
  6. Step 6: Final answer
    x = 155.20

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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.