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Finding the Fourth Proportional to 464.51, 640.80 and 305.03

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Solution

The fourth proportional to 464.51, 640.80 and 305.03 is: 420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.51 : 640.80 = 305.03 : x
  2. Step 2: Convert to fraction form
    464.51/640.80 = 305.03/x
  3. Step 3: Cross multiply
    464.51x = 640.80 × 305.03
  4. Step 4: Simplify right side
    464.51x = 195,464.83
  5. Step 5: Solve for x
    x = 195,464.83/464.51
  6. Step 6: Final answer
    x = 420.80

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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.