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Finding the Fourth Proportional to 298.51, 448.07 and 278.66

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Solution

The fourth proportional to 298.51, 448.07 and 278.66 is: 418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.51 : 448.07 = 278.66 : x
  2. Step 2: Convert to fraction form
    298.51/448.07 = 278.66/x
  3. Step 3: Cross multiply
    298.51x = 448.07 × 278.66
  4. Step 4: Simplify right side
    298.51x = 124,858.91
  5. Step 5: Solve for x
    x = 124,858.91/298.51
  6. Step 6: Final answer
    x = 418.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.