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Finding the Fourth Proportional to 357.52, 536.37 and 138.21

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Solution

The fourth proportional to 357.52, 536.37 and 138.21 is: 207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.52 : 536.37 = 138.21 : x
  2. Step 2: Convert to fraction form
    357.52/536.37 = 138.21/x
  3. Step 3: Cross multiply
    357.52x = 536.37 × 138.21
  4. Step 4: Simplify right side
    357.52x = 74,129.02
  5. Step 5: Solve for x
    x = 74,129.02/357.52
  6. Step 6: Final answer
    x = 207.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.