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Finding the Fourth Proportional to 350.12, 524.70 and 221.64

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Solution

The fourth proportional to 350.12, 524.70 and 221.64 is: 332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.12 : 524.70 = 221.64 : x
  2. Step 2: Convert to fraction form
    350.12/524.70 = 221.64/x
  3. Step 3: Cross multiply
    350.12x = 524.70 × 221.64
  4. Step 4: Simplify right side
    350.12x = 116,294.51
  5. Step 5: Solve for x
    x = 116,294.51/350.12
  6. Step 6: Final answer
    x = 332.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.