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Finding the Fourth Proportional to 309.44, 465.99 and 282.30

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Solution

The fourth proportional to 309.44, 465.99 and 282.30 is: 425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.44 : 465.99 = 282.30 : x
  2. Step 2: Convert to fraction form
    309.44/465.99 = 282.30/x
  3. Step 3: Cross multiply
    309.44x = 465.99 × 282.30
  4. Step 4: Simplify right side
    309.44x = 131,548.98
  5. Step 5: Solve for x
    x = 131,548.98/309.44
  6. Step 6: Final answer
    x = 425.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.