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Finding the Fourth Proportional to 297.53, 408.14 and 284.93

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Solution

The fourth proportional to 297.53, 408.14 and 284.93 is: 390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.53 : 408.14 = 284.93 : x
  2. Step 2: Convert to fraction form
    297.53/408.14 = 284.93/x
  3. Step 3: Cross multiply
    297.53x = 408.14 × 284.93
  4. Step 4: Simplify right side
    297.53x = 116,290.00
  5. Step 5: Solve for x
    x = 116,290.00/297.53
  6. Step 6: Final answer
    x = 390.86

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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.