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Finding the Fourth Proportional to 427.07, 588.83 and 356.21

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Solution

The fourth proportional to 427.07, 588.83 and 356.21 is: 491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.07 : 588.83 = 356.21 : x
  2. Step 2: Convert to fraction form
    427.07/588.83 = 356.21/x
  3. Step 3: Cross multiply
    427.07x = 588.83 × 356.21
  4. Step 4: Simplify right side
    427.07x = 209,744.77
  5. Step 5: Solve for x
    x = 209,744.77/427.07
  6. Step 6: Final answer
    x = 491.12

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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.