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Finding the Fourth Proportional to 300.98, 414.93 and 256.53

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Solution

The fourth proportional to 300.98, 414.93 and 256.53 is: 353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.98 : 414.93 = 256.53 : x
  2. Step 2: Convert to fraction form
    300.98/414.93 = 256.53/x
  3. Step 3: Cross multiply
    300.98x = 414.93 × 256.53
  4. Step 4: Simplify right side
    300.98x = 106,441.99
  5. Step 5: Solve for x
    x = 106,441.99/300.98
  6. Step 6: Final answer
    x = 353.66

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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.