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Finding the Fourth Proportional to 185.65, 256.50 and 130.57

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Solution

The fourth proportional to 185.65, 256.50 and 130.57 is: 180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.65 : 256.50 = 130.57 : x
  2. Step 2: Convert to fraction form
    185.65/256.50 = 130.57/x
  3. Step 3: Cross multiply
    185.65x = 256.50 × 130.57
  4. Step 4: Simplify right side
    185.65x = 33,490.56
  5. Step 5: Solve for x
    x = 33,490.56/185.65
  6. Step 6: Final answer
    x = 180.40

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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.