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Finding the Fourth Proportional to 190.47, 284.49 and 159.78

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Solution

The fourth proportional to 190.47, 284.49 and 159.78 is: 238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.47 : 284.49 = 159.78 : x
  2. Step 2: Convert to fraction form
    190.47/284.49 = 159.78/x
  3. Step 3: Cross multiply
    190.47x = 284.49 × 159.78
  4. Step 4: Simplify right side
    190.47x = 45,455.81
  5. Step 5: Solve for x
    x = 45,455.81/190.47
  6. Step 6: Final answer
    x = 238.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.