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Finding the Fourth Proportional to 222.77, 307.28 and 176.12

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Solution

The fourth proportional to 222.77, 307.28 and 176.12 is: 242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.77 : 307.28 = 176.12 : x
  2. Step 2: Convert to fraction form
    222.77/307.28 = 176.12/x
  3. Step 3: Cross multiply
    222.77x = 307.28 × 176.12
  4. Step 4: Simplify right side
    222.77x = 54,118.15
  5. Step 5: Solve for x
    x = 54,118.15/222.77
  6. Step 6: Final answer
    x = 242.93

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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.