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Finding the Fourth Proportional to 369.06, 552.69 and 314.40

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Solution

The fourth proportional to 369.06, 552.69 and 314.40 is: 470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.06 : 552.69 = 314.40 : x
  2. Step 2: Convert to fraction form
    369.06/552.69 = 314.40/x
  3. Step 3: Cross multiply
    369.06x = 552.69 × 314.40
  4. Step 4: Simplify right side
    369.06x = 173,765.74
  5. Step 5: Solve for x
    x = 173,765.74/369.06
  6. Step 6: Final answer
    x = 470.83

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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.