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Finding the Fourth Proportional to 464.64, 697.25 and 204.78

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Solution

The fourth proportional to 464.64, 697.25 and 204.78 is: 307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.64 : 697.25 = 204.78 : x
  2. Step 2: Convert to fraction form
    464.64/697.25 = 204.78/x
  3. Step 3: Cross multiply
    464.64x = 697.25 × 204.78
  4. Step 4: Simplify right side
    464.64x = 142,782.86
  5. Step 5: Solve for x
    x = 142,782.86/464.64
  6. Step 6: Final answer
    x = 307.30

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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.