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Finding the Fourth Proportional to 376.34, 519.32 and 297.50

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Solution

The fourth proportional to 376.34, 519.32 and 297.50 is: 410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.34 : 519.32 = 297.50 : x
  2. Step 2: Convert to fraction form
    376.34/519.32 = 297.50/x
  3. Step 3: Cross multiply
    376.34x = 519.32 × 297.50
  4. Step 4: Simplify right side
    376.34x = 154,495.85
  5. Step 5: Solve for x
    x = 154,495.85/376.34
  6. Step 6: Final answer
    x = 410.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.