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Finding the Fourth Proportional to 222.50, 308.54 and 210.08

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Solution

The fourth proportional to 222.50, 308.54 and 210.08 is: 291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.50 : 308.54 = 210.08 : x
  2. Step 2: Convert to fraction form
    222.50/308.54 = 210.08/x
  3. Step 3: Cross multiply
    222.50x = 308.54 × 210.08
  4. Step 4: Simplify right side
    222.50x = 64,815.49
  5. Step 5: Solve for x
    x = 64,815.49/222.50
  6. Step 6: Final answer
    x = 291.31

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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.