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Finding the Fourth Proportional to 464.33, 696.62 and 186.71

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Solution

The fourth proportional to 464.33, 696.62 and 186.71 is: 280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.33 : 696.62 = 186.71 : x
  2. Step 2: Convert to fraction form
    464.33/696.62 = 186.71/x
  3. Step 3: Cross multiply
    464.33x = 696.62 × 186.71
  4. Step 4: Simplify right side
    464.33x = 130,068.13
  5. Step 5: Solve for x
    x = 130,068.13/464.33
  6. Step 6: Final answer
    x = 280.12

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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.