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Finding the Fourth Proportional to 442.07, 609.78 and 284.91

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Solution

The fourth proportional to 442.07, 609.78 and 284.91 is: 393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.07 : 609.78 = 284.91 : x
  2. Step 2: Convert to fraction form
    442.07/609.78 = 284.91/x
  3. Step 3: Cross multiply
    442.07x = 609.78 × 284.91
  4. Step 4: Simplify right side
    442.07x = 173,732.42
  5. Step 5: Solve for x
    x = 173,732.42/442.07
  6. Step 6: Final answer
    x = 393.00

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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.