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Finding the Fourth Proportional to 309.66, 465.03 and 237.30

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Solution

The fourth proportional to 309.66, 465.03 and 237.30 is: 356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.66 : 465.03 = 237.30 : x
  2. Step 2: Convert to fraction form
    309.66/465.03 = 237.30/x
  3. Step 3: Cross multiply
    309.66x = 465.03 × 237.30
  4. Step 4: Simplify right side
    309.66x = 110,351.62
  5. Step 5: Solve for x
    x = 110,351.62/309.66
  6. Step 6: Final answer
    x = 356.36

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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.