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Finding the Fourth Proportional to 215.78, 295.62 and 207.56

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Solution

The fourth proportional to 215.78, 295.62 and 207.56 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.78 : 295.62 = 207.56 : x
  2. Step 2: Convert to fraction form
    215.78/295.62 = 207.56/x
  3. Step 3: Cross multiply
    215.78x = 295.62 × 207.56
  4. Step 4: Simplify right side
    215.78x = 61,357.85
  5. Step 5: Solve for x
    x = 61,357.85/215.78
  6. Step 6: Final answer
    x = 284.35

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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.