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Finding the Fourth Proportional to 309.61, 461.73 and 264.25

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Solution

The fourth proportional to 309.61, 461.73 and 264.25 is: 394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.61 : 461.73 = 264.25 : x
  2. Step 2: Convert to fraction form
    309.61/461.73 = 264.25/x
  3. Step 3: Cross multiply
    309.61x = 461.73 × 264.25
  4. Step 4: Simplify right side
    309.61x = 122,012.15
  5. Step 5: Solve for x
    x = 122,012.15/309.61
  6. Step 6: Final answer
    x = 394.08

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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.