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Finding the Fourth Proportional to 427.15, 588.82 and 367.82

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Solution

The fourth proportional to 427.15, 588.82 and 367.82 is: 507.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.15 : 588.82 = 367.82 : x
  2. Step 2: Convert to fraction form
    427.15/588.82 = 367.82/x
  3. Step 3: Cross multiply
    427.15x = 588.82 × 367.82
  4. Step 4: Simplify right side
    427.15x = 216,580.88
  5. Step 5: Solve for x
    x = 216,580.88/427.15
  6. Step 6: Final answer
    x = 507.04

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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.