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Finding the Fourth Proportional to 427.98, 591.12 and 355.26

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Solution

The fourth proportional to 427.98, 591.12 and 355.26 is: 490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.98 : 591.12 = 355.26 : x
  2. Step 2: Convert to fraction form
    427.98/591.12 = 355.26/x
  3. Step 3: Cross multiply
    427.98x = 591.12 × 355.26
  4. Step 4: Simplify right side
    427.98x = 210,001.29
  5. Step 5: Solve for x
    x = 210,001.29/427.98
  6. Step 6: Final answer
    x = 490.68

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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.