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Finding the Fourth Proportional to 297.86, 449.03 and 278.05

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Solution

The fourth proportional to 297.86, 449.03 and 278.05 is: 419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.86 : 449.03 = 278.05 : x
  2. Step 2: Convert to fraction form
    297.86/449.03 = 278.05/x
  3. Step 3: Cross multiply
    297.86x = 449.03 × 278.05
  4. Step 4: Simplify right side
    297.86x = 124,851.40
  5. Step 5: Solve for x
    x = 124,851.40/297.86
  6. Step 6: Final answer
    x = 419.16

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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.