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Finding the Fourth Proportional to 325.05, 448.22 and 278.57

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Solution

The fourth proportional to 325.05, 448.22 and 278.57 is: 384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.05 : 448.22 = 278.57 : x
  2. Step 2: Convert to fraction form
    325.05/448.22 = 278.57/x
  3. Step 3: Cross multiply
    325.05x = 448.22 × 278.57
  4. Step 4: Simplify right side
    325.05x = 124,860.65
  5. Step 5: Solve for x
    x = 124,860.65/325.05
  6. Step 6: Final answer
    x = 384.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.