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Finding the Fourth Proportional to 221.02, 304.75 and 151.12

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Solution

The fourth proportional to 221.02, 304.75 and 151.12 is: 208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.02 : 304.75 = 151.12 : x
  2. Step 2: Convert to fraction form
    221.02/304.75 = 151.12/x
  3. Step 3: Cross multiply
    221.02x = 304.75 × 151.12
  4. Step 4: Simplify right side
    221.02x = 46,051.54
  5. Step 5: Solve for x
    x = 46,051.54/221.02
  6. Step 6: Final answer
    x = 208.36

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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.