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Finding the Fourth Proportional to 220.16, 304.26 and 155

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Solution

The fourth proportional to 220.16, 304.26 and 155 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.16 : 304.26 = 155 : x
  2. Step 2: Convert to fraction form
    220.16/304.26 = 155/x
  3. Step 3: Cross multiply
    220.16x = 304.26 × 155
  4. Step 4: Simplify right side
    220.16x = 47,160.30
  5. Step 5: Solve for x
    x = 47,160.30/220.16
  6. Step 6: Final answer
    x = 214.21

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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.