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Finding the Fourth Proportional to 464.10, 640.69 and 358.95

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Solution

The fourth proportional to 464.10, 640.69 and 358.95 is: 495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.10 : 640.69 = 358.95 : x
  2. Step 2: Convert to fraction form
    464.10/640.69 = 358.95/x
  3. Step 3: Cross multiply
    464.10x = 640.69 × 358.95
  4. Step 4: Simplify right side
    464.10x = 229,975.68
  5. Step 5: Solve for x
    x = 229,975.68/464.10
  6. Step 6: Final answer
    x = 495.53

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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.