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Finding the Fourth Proportional to 325.24, 448.51 and 278.77

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Solution

The fourth proportional to 325.24, 448.51 and 278.77 is: 384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.24 : 448.51 = 278.77 : x
  2. Step 2: Convert to fraction form
    325.24/448.51 = 278.77/x
  3. Step 3: Cross multiply
    325.24x = 448.51 × 278.77
  4. Step 4: Simplify right side
    325.24x = 125,031.13
  5. Step 5: Solve for x
    x = 125,031.13/325.24
  6. Step 6: Final answer
    x = 384.43

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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.