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Finding the Fourth Proportional to 216.14, 298.10 and 150.50

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Solution

The fourth proportional to 216.14, 298.10 and 150.50 is: 207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.14 : 298.10 = 150.50 : x
  2. Step 2: Convert to fraction form
    216.14/298.10 = 150.50/x
  3. Step 3: Cross multiply
    216.14x = 298.10 × 150.50
  4. Step 4: Simplify right side
    216.14x = 44,864.05
  5. Step 5: Solve for x
    x = 44,864.05/216.14
  6. Step 6: Final answer
    x = 207.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.