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Finding the Fourth Proportional to 357.21, 538.09 and 355.39

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Solution

The fourth proportional to 357.21, 538.09 and 355.39 is: 535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.21 : 538.09 = 355.39 : x
  2. Step 2: Convert to fraction form
    357.21/538.09 = 355.39/x
  3. Step 3: Cross multiply
    357.21x = 538.09 × 355.39
  4. Step 4: Simplify right side
    357.21x = 191,231.57
  5. Step 5: Solve for x
    x = 191,231.57/357.21
  6. Step 6: Final answer
    x = 535.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.