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Finding the Fourth Proportional to 190.32, 285.80 and 154.59

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Solution

The fourth proportional to 190.32, 285.80 and 154.59 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.32 : 285.80 = 154.59 : x
  2. Step 2: Convert to fraction form
    190.32/285.80 = 154.59/x
  3. Step 3: Cross multiply
    190.32x = 285.80 × 154.59
  4. Step 4: Simplify right side
    190.32x = 44,181.05
  5. Step 5: Solve for x
    x = 44,181.05/190.32
  6. Step 6: Final answer
    x = 232.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.