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Finding the Fourth Proportional to 264.39, 365.29 and 233.21

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Solution

The fourth proportional to 264.39, 365.29 and 233.21 is: 322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.39 : 365.29 = 233.21 : x
  2. Step 2: Convert to fraction form
    264.39/365.29 = 233.21/x
  3. Step 3: Cross multiply
    264.39x = 365.29 × 233.21
  4. Step 4: Simplify right side
    264.39x = 85,186.87
  5. Step 5: Solve for x
    x = 85,186.87/264.39
  6. Step 6: Final answer
    x = 322.20

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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.