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Finding the Fourth Proportional to 423.94, 635.98 and 150.06

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Solution

The fourth proportional to 423.94, 635.98 and 150.06 is: 225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.94 : 635.98 = 150.06 : x
  2. Step 2: Convert to fraction form
    423.94/635.98 = 150.06/x
  3. Step 3: Cross multiply
    423.94x = 635.98 × 150.06
  4. Step 4: Simplify right side
    423.94x = 95,435.16
  5. Step 5: Solve for x
    x = 95,435.16/423.94
  6. Step 6: Final answer
    x = 225.11

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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.