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Finding the Fourth Proportional to 358.06, 536.64 and 165.28

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Solution

The fourth proportional to 358.06, 536.64 and 165.28 is: 247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.06 : 536.64 = 165.28 : x
  2. Step 2: Convert to fraction form
    358.06/536.64 = 165.28/x
  3. Step 3: Cross multiply
    358.06x = 536.64 × 165.28
  4. Step 4: Simplify right side
    358.06x = 88,695.86
  5. Step 5: Solve for x
    x = 88,695.86/358.06
  6. Step 6: Final answer
    x = 247.71

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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.