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Finding the Fourth Proportional to 312.72, 431.64 and 214.72

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Solution

The fourth proportional to 312.72, 431.64 and 214.72 is: 296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.72 : 431.64 = 214.72 : x
  2. Step 2: Convert to fraction form
    312.72/431.64 = 214.72/x
  3. Step 3: Cross multiply
    312.72x = 431.64 × 214.72
  4. Step 4: Simplify right side
    312.72x = 92,681.74
  5. Step 5: Solve for x
    x = 92,681.74/312.72
  6. Step 6: Final answer
    x = 296.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.