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Finding the Fourth Proportional to 190.42, 284.05 and 172.18

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Solution

The fourth proportional to 190.42, 284.05 and 172.18 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.42 : 284.05 = 172.18 : x
  2. Step 2: Convert to fraction form
    190.42/284.05 = 172.18/x
  3. Step 3: Cross multiply
    190.42x = 284.05 × 172.18
  4. Step 4: Simplify right side
    190.42x = 48,907.73
  5. Step 5: Solve for x
    x = 48,907.73/190.42
  6. Step 6: Final answer
    x = 256.84

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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.