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Finding the Fourth Proportional to 309.90, 465.09 and 180.02

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Solution

The fourth proportional to 309.90, 465.09 and 180.02 is: 270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.90 : 465.09 = 180.02 : x
  2. Step 2: Convert to fraction form
    309.90/465.09 = 180.02/x
  3. Step 3: Cross multiply
    309.90x = 465.09 × 180.02
  4. Step 4: Simplify right side
    309.90x = 83,726.66
  5. Step 5: Solve for x
    x = 83,726.66/309.90
  6. Step 6: Final answer
    x = 270.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.