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Finding the Fourth Proportional to 304.52, 459.26 and 280.76

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Solution

The fourth proportional to 304.52, 459.26 and 280.76 is: 423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.52 : 459.26 = 280.76 : x
  2. Step 2: Convert to fraction form
    304.52/459.26 = 280.76/x
  3. Step 3: Cross multiply
    304.52x = 459.26 × 280.76
  4. Step 4: Simplify right side
    304.52x = 128,941.84
  5. Step 5: Solve for x
    x = 128,941.84/304.52
  6. Step 6: Final answer
    x = 423.43

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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.