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Finding the Fourth Proportional to 220, 304.75 and 214.96

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Solution

The fourth proportional to 220, 304.75 and 214.96 is: 297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220 : 304.75 = 214.96 : x
  2. Step 2: Convert to fraction form
    220/304.75 = 214.96/x
  3. Step 3: Cross multiply
    220x = 304.75 × 214.96
  4. Step 4: Simplify right side
    220x = 65,509.06
  5. Step 5: Solve for x
    x = 65,509.06/220
  6. Step 6: Final answer
    x = 297.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.