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Finding the Fourth Proportional to 301.77, 455.52 and 298.53

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Solution

The fourth proportional to 301.77, 455.52 and 298.53 is: 450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.77 : 455.52 = 298.53 : x
  2. Step 2: Convert to fraction form
    301.77/455.52 = 298.53/x
  3. Step 3: Cross multiply
    301.77x = 455.52 × 298.53
  4. Step 4: Simplify right side
    301.77x = 135,986.39
  5. Step 5: Solve for x
    x = 135,986.39/301.77
  6. Step 6: Final answer
    x = 450.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.