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Finding the Fourth Proportional to 325.92, 491.52 and 278.40

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Solution

The fourth proportional to 325.92, 491.52 and 278.40 is: 419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.92 : 491.52 = 278.40 : x
  2. Step 2: Convert to fraction form
    325.92/491.52 = 278.40/x
  3. Step 3: Cross multiply
    325.92x = 491.52 × 278.40
  4. Step 4: Simplify right side
    325.92x = 136,839.17
  5. Step 5: Solve for x
    x = 136,839.17/325.92
  6. Step 6: Final answer
    x = 419.86

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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.