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Finding the Fourth Proportional to 309.32, 461.49 and 286.36

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Solution

The fourth proportional to 309.32, 461.49 and 286.36 is: 427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.32 : 461.49 = 286.36 : x
  2. Step 2: Convert to fraction form
    309.32/461.49 = 286.36/x
  3. Step 3: Cross multiply
    309.32x = 461.49 × 286.36
  4. Step 4: Simplify right side
    309.32x = 132,152.28
  5. Step 5: Solve for x
    x = 132,152.28/309.32
  6. Step 6: Final answer
    x = 427.23

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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.