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Finding the Fourth Proportional to 427.06, 640.66 and 153.21

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Solution

The fourth proportional to 427.06, 640.66 and 153.21 is: 229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.06 : 640.66 = 153.21 : x
  2. Step 2: Convert to fraction form
    427.06/640.66 = 153.21/x
  3. Step 3: Cross multiply
    427.06x = 640.66 × 153.21
  4. Step 4: Simplify right side
    427.06x = 98,155.52
  5. Step 5: Solve for x
    x = 98,155.52/427.06
  6. Step 6: Final answer
    x = 229.84

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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.