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Finding the Fourth Proportional to 362.65, 500.35 and 222.70

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Solution

The fourth proportional to 362.65, 500.35 and 222.70 is: 307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.65 : 500.35 = 222.70 : x
  2. Step 2: Convert to fraction form
    362.65/500.35 = 222.70/x
  3. Step 3: Cross multiply
    362.65x = 500.35 × 222.70
  4. Step 4: Simplify right side
    362.65x = 111,426.83
  5. Step 5: Solve for x
    x = 111,426.83/362.65
  6. Step 6: Final answer
    x = 307.26

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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.