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Finding the Fourth Proportional to 208.33, 310.46 and 202.07

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Solution

The fourth proportional to 208.33, 310.46 and 202.07 is: 301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.33 : 310.46 = 202.07 : x
  2. Step 2: Convert to fraction form
    208.33/310.46 = 202.07/x
  3. Step 3: Cross multiply
    208.33x = 310.46 × 202.07
  4. Step 4: Simplify right side
    208.33x = 62,734.65
  5. Step 5: Solve for x
    x = 62,734.65/208.33
  6. Step 6: Final answer
    x = 301.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.