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Finding the Fourth Proportional to 427.15, 640.93 and 183.74

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Solution

The fourth proportional to 427.15, 640.93 and 183.74 is: 275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.15 : 640.93 = 183.74 : x
  2. Step 2: Convert to fraction form
    427.15/640.93 = 183.74/x
  3. Step 3: Cross multiply
    427.15x = 640.93 × 183.74
  4. Step 4: Simplify right side
    427.15x = 117,763.56
  5. Step 5: Solve for x
    x = 117,763.56/427.15
  6. Step 6: Final answer
    x = 275.70

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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.