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Finding the Fourth Proportional to 349.89, 522.57 and 281.55

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Solution

The fourth proportional to 349.89, 522.57 and 281.55 is: 420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.89 : 522.57 = 281.55 : x
  2. Step 2: Convert to fraction form
    349.89/522.57 = 281.55/x
  3. Step 3: Cross multiply
    349.89x = 522.57 × 281.55
  4. Step 4: Simplify right side
    349.89x = 147,129.58
  5. Step 5: Solve for x
    x = 147,129.58/349.89
  6. Step 6: Final answer
    x = 420.50

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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.