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Finding the Fourth Proportional to 295.03, 406.38 and 207.55

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Solution

The fourth proportional to 295.03, 406.38 and 207.55 is: 285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.03 : 406.38 = 207.55 : x
  2. Step 2: Convert to fraction form
    295.03/406.38 = 207.55/x
  3. Step 3: Cross multiply
    295.03x = 406.38 × 207.55
  4. Step 4: Simplify right side
    295.03x = 84,344.17
  5. Step 5: Solve for x
    x = 84,344.17/295.03
  6. Step 6: Final answer
    x = 285.88

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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.