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Finding the Fourth Proportional to 215.32, 320.75 and 214.36

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Solution

The fourth proportional to 215.32, 320.75 and 214.36 is: 319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.32 : 320.75 = 214.36 : x
  2. Step 2: Convert to fraction form
    215.32/320.75 = 214.36/x
  3. Step 3: Cross multiply
    215.32x = 320.75 × 214.36
  4. Step 4: Simplify right side
    215.32x = 68,755.97
  5. Step 5: Solve for x
    x = 68,755.97/215.32
  6. Step 6: Final answer
    x = 319.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.