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Finding the Fourth Proportional to 464.18, 640.68 and 390.38

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Solution

The fourth proportional to 464.18, 640.68 and 390.38 is: 538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.18 : 640.68 = 390.38 : x
  2. Step 2: Convert to fraction form
    464.18/640.68 = 390.38/x
  3. Step 3: Cross multiply
    464.18x = 640.68 × 390.38
  4. Step 4: Simplify right side
    464.18x = 250,108.66
  5. Step 5: Solve for x
    x = 250,108.66/464.18
  6. Step 6: Final answer
    x = 538.82

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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.