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Finding the Fourth Proportional to 299.51, 407.77 and 298.58

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Solution

The fourth proportional to 299.51, 407.77 and 298.58 is: 406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.51 : 407.77 = 298.58 : x
  2. Step 2: Convert to fraction form
    299.51/407.77 = 298.58/x
  3. Step 3: Cross multiply
    299.51x = 407.77 × 298.58
  4. Step 4: Simplify right side
    299.51x = 121,749.93
  5. Step 5: Solve for x
    x = 121,749.93/299.51
  6. Step 6: Final answer
    x = 406.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.