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Finding the Fourth Proportional to 215.70, 325.28 and 214.26

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Solution

The fourth proportional to 215.70, 325.28 and 214.26 is: 323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.70 : 325.28 = 214.26 : x
  2. Step 2: Convert to fraction form
    215.70/325.28 = 214.26/x
  3. Step 3: Cross multiply
    215.70x = 325.28 × 214.26
  4. Step 4: Simplify right side
    215.70x = 69,693.42
  5. Step 5: Solve for x
    x = 69,693.42/215.70
  6. Step 6: Final answer
    x = 323.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.