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Finding the Fourth Proportional to 190.08, 284.16 and 146.88

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Solution

The fourth proportional to 190.08, 284.16 and 146.88 is: 219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.08 : 284.16 = 146.88 : x
  2. Step 2: Convert to fraction form
    190.08/284.16 = 146.88/x
  3. Step 3: Cross multiply
    190.08x = 284.16 × 146.88
  4. Step 4: Simplify right side
    190.08x = 41,737.42
  5. Step 5: Solve for x
    x = 41,737.42/190.08
  6. Step 6: Final answer
    x = 219.58

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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.