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Finding the Fourth Proportional to 297.95, 444.74 and 263.39

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Solution

The fourth proportional to 297.95, 444.74 and 263.39 is: 393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.95 : 444.74 = 263.39 : x
  2. Step 2: Convert to fraction form
    297.95/444.74 = 263.39/x
  3. Step 3: Cross multiply
    297.95x = 444.74 × 263.39
  4. Step 4: Simplify right side
    297.95x = 117,136.53
  5. Step 5: Solve for x
    x = 117,136.53/297.95
  6. Step 6: Final answer
    x = 393.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.