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Finding the Fourth Proportional to 464.93, 697.43 and 140.27

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Solution

The fourth proportional to 464.93, 697.43 and 140.27 is: 210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.93 : 697.43 = 140.27 : x
  2. Step 2: Convert to fraction form
    464.93/697.43 = 140.27/x
  3. Step 3: Cross multiply
    464.93x = 697.43 × 140.27
  4. Step 4: Simplify right side
    464.93x = 97,829.55
  5. Step 5: Solve for x
    x = 97,829.55/464.93
  6. Step 6: Final answer
    x = 210.42

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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.