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Finding the Fourth Proportional to 190.52, 260.61 and 187.70

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Solution

The fourth proportional to 190.52, 260.61 and 187.70 is: 256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.52 : 260.61 = 187.70 : x
  2. Step 2: Convert to fraction form
    190.52/260.61 = 187.70/x
  3. Step 3: Cross multiply
    190.52x = 260.61 × 187.70
  4. Step 4: Simplify right side
    190.52x = 48,916.50
  5. Step 5: Solve for x
    x = 48,916.50/190.52
  6. Step 6: Final answer
    x = 256.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.