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Finding the Fourth Proportional to 357.55, 536.25 and 159.91

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Solution

The fourth proportional to 357.55, 536.25 and 159.91 is: 239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.55 : 536.25 = 159.91 : x
  2. Step 2: Convert to fraction form
    357.55/536.25 = 159.91/x
  3. Step 3: Cross multiply
    357.55x = 536.25 × 159.91
  4. Step 4: Simplify right side
    357.55x = 85,751.10
  5. Step 5: Solve for x
    x = 85,751.10/357.55
  6. Step 6: Final answer
    x = 239.83

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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.