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Finding the Fourth Proportional to 480.72, 663.34 and 278.87

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Solution

The fourth proportional to 480.72, 663.34 and 278.87 is: 384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.72 : 663.34 = 278.87 : x
  2. Step 2: Convert to fraction form
    480.72/663.34 = 278.87/x
  3. Step 3: Cross multiply
    480.72x = 663.34 × 278.87
  4. Step 4: Simplify right side
    480.72x = 184,986.59
  5. Step 5: Solve for x
    x = 184,986.59/480.72
  6. Step 6: Final answer
    x = 384.81

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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.