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Finding the Fourth Proportional to 222.83, 307.46 and 181.32

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Solution

The fourth proportional to 222.83, 307.46 and 181.32 is: 250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.83 : 307.46 = 181.32 : x
  2. Step 2: Convert to fraction form
    222.83/307.46 = 181.32/x
  3. Step 3: Cross multiply
    222.83x = 307.46 × 181.32
  4. Step 4: Simplify right side
    222.83x = 55,746.59
  5. Step 5: Solve for x
    x = 55,746.59/222.83
  6. Step 6: Final answer
    x = 250.17

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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.