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Finding the Fourth Proportional to 357.85, 536.35 and 165.07

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Solution

The fourth proportional to 357.85, 536.35 and 165.07 is: 247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.85 : 536.35 = 165.07 : x
  2. Step 2: Convert to fraction form
    357.85/536.35 = 165.07/x
  3. Step 3: Cross multiply
    357.85x = 536.35 × 165.07
  4. Step 4: Simplify right side
    357.85x = 88,535.29
  5. Step 5: Solve for x
    x = 88,535.29/357.85
  6. Step 6: Final answer
    x = 247.41

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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.