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Finding the Fourth Proportional to 222.78, 307.53 and 152.94

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Solution

The fourth proportional to 222.78, 307.53 and 152.94 is: 211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.78 : 307.53 = 152.94 : x
  2. Step 2: Convert to fraction form
    222.78/307.53 = 152.94/x
  3. Step 3: Cross multiply
    222.78x = 307.53 × 152.94
  4. Step 4: Simplify right side
    222.78x = 47,033.64
  5. Step 5: Solve for x
    x = 47,033.64/222.78
  6. Step 6: Final answer
    x = 211.12

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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.