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Finding the Fourth Proportional to 464.83, 641.41 and 278.30

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Solution

The fourth proportional to 464.83, 641.41 and 278.30 is: 384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.83 : 641.41 = 278.30 : x
  2. Step 2: Convert to fraction form
    464.83/641.41 = 278.30/x
  3. Step 3: Cross multiply
    464.83x = 641.41 × 278.30
  4. Step 4: Simplify right side
    464.83x = 178,502.07
  5. Step 5: Solve for x
    x = 178,502.07/464.83
  6. Step 6: Final answer
    x = 384.01

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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.