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Finding the Fourth Proportional to 420.36, 579.24 and 376

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Solution

The fourth proportional to 420.36, 579.24 and 376 is: 518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.36 : 579.24 = 376 : x
  2. Step 2: Convert to fraction form
    420.36/579.24 = 376/x
  3. Step 3: Cross multiply
    420.36x = 579.24 × 376
  4. Step 4: Simplify right side
    420.36x = 217,794.24
  5. Step 5: Solve for x
    x = 217,794.24/420.36
  6. Step 6: Final answer
    x = 518.11

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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.