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Finding the Fourth Proportional to 284.07, 420.78 and 280.83

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Solution

The fourth proportional to 284.07, 420.78 and 280.83 is: 415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.07 : 420.78 = 280.83 : x
  2. Step 2: Convert to fraction form
    284.07/420.78 = 280.83/x
  3. Step 3: Cross multiply
    284.07x = 420.78 × 280.83
  4. Step 4: Simplify right side
    284.07x = 118,167.65
  5. Step 5: Solve for x
    x = 118,167.65/284.07
  6. Step 6: Final answer
    x = 415.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.