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Finding the Fourth Proportional to 213.33, 292.65 and 207.93

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Solution

The fourth proportional to 213.33, 292.65 and 207.93 is: 285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.33 : 292.65 = 207.93 : x
  2. Step 2: Convert to fraction form
    213.33/292.65 = 207.93/x
  3. Step 3: Cross multiply
    213.33x = 292.65 × 207.93
  4. Step 4: Simplify right side
    213.33x = 60,851.03
  5. Step 5: Solve for x
    x = 60,851.03/213.33
  6. Step 6: Final answer
    x = 285.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.