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Finding the Fourth Proportional to 222.25, 306.80 and 152.28

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Solution

The fourth proportional to 222.25, 306.80 and 152.28 is: 210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.25 : 306.80 = 152.28 : x
  2. Step 2: Convert to fraction form
    222.25/306.80 = 152.28/x
  3. Step 3: Cross multiply
    222.25x = 306.80 × 152.28
  4. Step 4: Simplify right side
    222.25x = 46,719.50
  5. Step 5: Solve for x
    x = 46,719.50/222.25
  6. Step 6: Final answer
    x = 210.21

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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.