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Finding the Fourth Proportional to 350.89, 524.06 and 282.55

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Solution

The fourth proportional to 350.89, 524.06 and 282.55 is: 421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.89 : 524.06 = 282.55 : x
  2. Step 2: Convert to fraction form
    350.89/524.06 = 282.55/x
  3. Step 3: Cross multiply
    350.89x = 524.06 × 282.55
  4. Step 4: Simplify right side
    350.89x = 148,073.15
  5. Step 5: Solve for x
    x = 148,073.15/350.89
  6. Step 6: Final answer
    x = 421.99

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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.