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Finding the Fourth Proportional to 383.22, 528.92 and 265.16

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Solution

The fourth proportional to 383.22, 528.92 and 265.16 is: 365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.22 : 528.92 = 265.16 : x
  2. Step 2: Convert to fraction form
    383.22/528.92 = 265.16/x
  3. Step 3: Cross multiply
    383.22x = 528.92 × 265.16
  4. Step 4: Simplify right side
    383.22x = 140,244.46
  5. Step 5: Solve for x
    x = 140,244.46/383.22
  6. Step 6: Final answer
    x = 365.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.