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Finding the Fourth Proportional to 309.02, 461.30 and 263.66

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Solution

The fourth proportional to 309.02, 461.30 and 263.66 is: 393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.02 : 461.30 = 263.66 : x
  2. Step 2: Convert to fraction form
    309.02/461.30 = 263.66/x
  3. Step 3: Cross multiply
    309.02x = 461.30 × 263.66
  4. Step 4: Simplify right side
    309.02x = 121,622.73
  5. Step 5: Solve for x
    x = 121,622.73/309.02
  6. Step 6: Final answer
    x = 393.58

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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.