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Finding the Fourth Proportional to 369.40, 550.92 and 314.91

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Solution

The fourth proportional to 369.40, 550.92 and 314.91 is: 469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.40 : 550.92 = 314.91 : x
  2. Step 2: Convert to fraction form
    369.40/550.92 = 314.91/x
  3. Step 3: Cross multiply
    369.40x = 550.92 × 314.91
  4. Step 4: Simplify right side
    369.40x = 173,490.22
  5. Step 5: Solve for x
    x = 173,490.22/369.40
  6. Step 6: Final answer
    x = 469.65

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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.