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Finding the Fourth Proportional to 357.89, 536.81 and 175.22

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Solution

The fourth proportional to 357.89, 536.81 and 175.22 is: 262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.89 : 536.81 = 175.22 : x
  2. Step 2: Convert to fraction form
    357.89/536.81 = 175.22/x
  3. Step 3: Cross multiply
    357.89x = 536.81 × 175.22
  4. Step 4: Simplify right side
    357.89x = 94,059.29
  5. Step 5: Solve for x
    x = 94,059.29/357.89
  6. Step 6: Final answer
    x = 262.82

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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.