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Finding the Fourth Proportional to 190.02, 284.84 and 98.66

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Solution

The fourth proportional to 190.02, 284.84 and 98.66 is: 147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.02 : 284.84 = 98.66 : x
  2. Step 2: Convert to fraction form
    190.02/284.84 = 98.66/x
  3. Step 3: Cross multiply
    190.02x = 284.84 × 98.66
  4. Step 4: Simplify right side
    190.02x = 28,102.31
  5. Step 5: Solve for x
    x = 28,102.31/190.02
  6. Step 6: Final answer
    x = 147.89

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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.