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Finding the Fourth Proportional to 186.24, 257.28 and 137.28

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Solution

The fourth proportional to 186.24, 257.28 and 137.28 is: 189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.24 : 257.28 = 137.28 : x
  2. Step 2: Convert to fraction form
    186.24/257.28 = 137.28/x
  3. Step 3: Cross multiply
    186.24x = 257.28 × 137.28
  4. Step 4: Simplify right side
    186.24x = 35,319.40
  5. Step 5: Solve for x
    x = 35,319.40/186.24
  6. Step 6: Final answer
    x = 189.64

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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.