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Finding the Fourth Proportional to 350.85, 524.06 and 349.23

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Solution

The fourth proportional to 350.85, 524.06 and 349.23 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.85 : 524.06 = 349.23 : x
  2. Step 2: Convert to fraction form
    350.85/524.06 = 349.23/x
  3. Step 3: Cross multiply
    350.85x = 524.06 × 349.23
  4. Step 4: Simplify right side
    350.85x = 183,018.35
  5. Step 5: Solve for x
    x = 183,018.35/350.85
  6. Step 6: Final answer
    x = 521.64

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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.