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Finding the Fourth Proportional to 464.59, 696.87 and 214.40

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Solution

The fourth proportional to 464.59, 696.87 and 214.40 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.59 : 696.87 = 214.40 : x
  2. Step 2: Convert to fraction form
    464.59/696.87 = 214.40/x
  3. Step 3: Cross multiply
    464.59x = 696.87 × 214.40
  4. Step 4: Simplify right side
    464.59x = 149,408.93
  5. Step 5: Solve for x
    x = 149,408.93/464.59
  6. Step 6: Final answer
    x = 321.59

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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.