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Finding the Fourth Proportional to 442.21, 609.54 and 348.81

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Solution

The fourth proportional to 442.21, 609.54 and 348.81 is: 480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.21 : 609.54 = 348.81 : x
  2. Step 2: Convert to fraction form
    442.21/609.54 = 348.81/x
  3. Step 3: Cross multiply
    442.21x = 609.54 × 348.81
  4. Step 4: Simplify right side
    442.21x = 212,613.65
  5. Step 5: Solve for x
    x = 212,613.65/442.21
  6. Step 6: Final answer
    x = 480.80

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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.