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Finding the Fourth Proportional to 297.23, 448.07 and 277.41

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Solution

The fourth proportional to 297.23, 448.07 and 277.41 is: 418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.23 : 448.07 = 277.41 : x
  2. Step 2: Convert to fraction form
    297.23/448.07 = 277.41/x
  3. Step 3: Cross multiply
    297.23x = 448.07 × 277.41
  4. Step 4: Simplify right side
    297.23x = 124,297.71
  5. Step 5: Solve for x
    x = 124,297.71/297.23
  6. Step 6: Final answer
    x = 418.19

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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.