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Finding the Fourth Proportional to 325.04, 486.34 and 278.76

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Solution

The fourth proportional to 325.04, 486.34 and 278.76 is: 417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.04 : 486.34 = 278.76 : x
  2. Step 2: Convert to fraction form
    325.04/486.34 = 278.76/x
  3. Step 3: Cross multiply
    325.04x = 486.34 × 278.76
  4. Step 4: Simplify right side
    325.04x = 135,572.14
  5. Step 5: Solve for x
    x = 135,572.14/325.04
  6. Step 6: Final answer
    x = 417.09

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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.