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Finding the Fourth Proportional to 301.98, 454.74 and 263.91

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Solution

The fourth proportional to 301.98, 454.74 and 263.91 is: 397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.98 : 454.74 = 263.91 : x
  2. Step 2: Convert to fraction form
    301.98/454.74 = 263.91/x
  3. Step 3: Cross multiply
    301.98x = 454.74 × 263.91
  4. Step 4: Simplify right side
    301.98x = 120,011.15
  5. Step 5: Solve for x
    x = 120,011.15/301.98
  6. Step 6: Final answer
    x = 397.41

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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.