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Finding the Fourth Proportional to 190.35, 284.23 and 156.18

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Solution

The fourth proportional to 190.35, 284.23 and 156.18 is: 233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.35 : 284.23 = 156.18 : x
  2. Step 2: Convert to fraction form
    190.35/284.23 = 156.18/x
  3. Step 3: Cross multiply
    190.35x = 284.23 × 156.18
  4. Step 4: Simplify right side
    190.35x = 44,389.83
  5. Step 5: Solve for x
    x = 44,389.83/190.35
  6. Step 6: Final answer
    x = 233.20

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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.