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Finding the Fourth Proportional to 464.19, 696.09 and 155.97

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Solution

The fourth proportional to 464.19, 696.09 and 155.97 is: 233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.19 : 696.09 = 155.97 : x
  2. Step 2: Convert to fraction form
    464.19/696.09 = 155.97/x
  3. Step 3: Cross multiply
    464.19x = 696.09 × 155.97
  4. Step 4: Simplify right side
    464.19x = 108,569.16
  5. Step 5: Solve for x
    x = 108,569.16/464.19
  6. Step 6: Final answer
    x = 233.89

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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.