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Finding the Fourth Proportional to 304.98, 455.16 and 285.54

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Solution

The fourth proportional to 304.98, 455.16 and 285.54 is: 426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.98 : 455.16 = 285.54 : x
  2. Step 2: Convert to fraction form
    304.98/455.16 = 285.54/x
  3. Step 3: Cross multiply
    304.98x = 455.16 × 285.54
  4. Step 4: Simplify right side
    304.98x = 129,966.39
  5. Step 5: Solve for x
    x = 129,966.39/304.98
  6. Step 6: Final answer
    x = 426.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.