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Finding the Fourth Proportional to 185.69, 256.28 and 130.51

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Solution

The fourth proportional to 185.69, 256.28 and 130.51 is: 180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.69 : 256.28 = 130.51 : x
  2. Step 2: Convert to fraction form
    185.69/256.28 = 130.51/x
  3. Step 3: Cross multiply
    185.69x = 256.28 × 130.51
  4. Step 4: Simplify right side
    185.69x = 33,447.10
  5. Step 5: Solve for x
    x = 33,447.10/185.69
  6. Step 6: Final answer
    x = 180.12

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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.