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Finding the Fourth Proportional to 464.62, 696.66 and 139.90

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Solution

The fourth proportional to 464.62, 696.66 and 139.90 is: 209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.62 : 696.66 = 139.90 : x
  2. Step 2: Convert to fraction form
    464.62/696.66 = 139.90/x
  3. Step 3: Cross multiply
    464.62x = 696.66 × 139.90
  4. Step 4: Simplify right side
    464.62x = 97,462.73
  5. Step 5: Solve for x
    x = 97,462.73/464.62
  6. Step 6: Final answer
    x = 209.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.