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Finding the Fourth Proportional to 464.03, 640.20 and 264.87

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Solution

The fourth proportional to 464.03, 640.20 and 264.87 is: 365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.03 : 640.20 = 264.87 : x
  2. Step 2: Convert to fraction form
    464.03/640.20 = 264.87/x
  3. Step 3: Cross multiply
    464.03x = 640.20 × 264.87
  4. Step 4: Simplify right side
    464.03x = 169,570.77
  5. Step 5: Solve for x
    x = 169,570.77/464.03
  6. Step 6: Final answer
    x = 365.43

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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.