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Finding the Fourth Proportional to 464.80, 698.16 and 369.28

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Solution

The fourth proportional to 464.80, 698.16 and 369.28 is: 554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.80 : 698.16 = 369.28 : x
  2. Step 2: Convert to fraction form
    464.80/698.16 = 369.28/x
  3. Step 3: Cross multiply
    464.80x = 698.16 × 369.28
  4. Step 4: Simplify right side
    464.80x = 257,816.52
  5. Step 5: Solve for x
    x = 257,816.52/464.80
  6. Step 6: Final answer
    x = 554.68

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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.