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Finding the Fourth Proportional to 301.83, 455.07 and 297.95

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Solution

The fourth proportional to 301.83, 455.07 and 297.95 is: 449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.83 : 455.07 = 297.95 : x
  2. Step 2: Convert to fraction form
    301.83/455.07 = 297.95/x
  3. Step 3: Cross multiply
    301.83x = 455.07 × 297.95
  4. Step 4: Simplify right side
    301.83x = 135,585.83
  5. Step 5: Solve for x
    x = 135,585.83/301.83
  6. Step 6: Final answer
    x = 449.21

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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.