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Finding the Fourth Proportional to 309, 461.34 and 263.37

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Solution

The fourth proportional to 309, 461.34 and 263.37 is: 393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 461.34 = 263.37 : x
  2. Step 2: Convert to fraction form
    309/461.34 = 263.37/x
  3. Step 3: Cross multiply
    309x = 461.34 × 263.37
  4. Step 4: Simplify right side
    309x = 121,503.12
  5. Step 5: Solve for x
    x = 121,503.12/309
  6. Step 6: Final answer
    x = 393.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.