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Finding the Fourth Proportional to 301.21, 448.52 and 297.56

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Solution

The fourth proportional to 301.21, 448.52 and 297.56 is: 443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.21 : 448.52 = 297.56 : x
  2. Step 2: Convert to fraction form
    301.21/448.52 = 297.56/x
  3. Step 3: Cross multiply
    301.21x = 448.52 × 297.56
  4. Step 4: Simplify right side
    301.21x = 133,461.61
  5. Step 5: Solve for x
    x = 133,461.61/301.21
  6. Step 6: Final answer
    x = 443.08

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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.