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Finding the Fourth Proportional to 427.14, 588.20 and 295.92

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Solution

The fourth proportional to 427.14, 588.20 and 295.92 is: 407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.14 : 588.20 = 295.92 : x
  2. Step 2: Convert to fraction form
    427.14/588.20 = 295.92/x
  3. Step 3: Cross multiply
    427.14x = 588.20 × 295.92
  4. Step 4: Simplify right side
    427.14x = 174,058.66
  5. Step 5: Solve for x
    x = 174,058.66/427.14
  6. Step 6: Final answer
    x = 407.50

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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.