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Finding the Fourth Proportional to 314.32, 433.53 and 221.03

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Solution

The fourth proportional to 314.32, 433.53 and 221.03 is: 304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.32 : 433.53 = 221.03 : x
  2. Step 2: Convert to fraction form
    314.32/433.53 = 221.03/x
  3. Step 3: Cross multiply
    314.32x = 433.53 × 221.03
  4. Step 4: Simplify right side
    314.32x = 95,823.14
  5. Step 5: Solve for x
    x = 95,823.14/314.32
  6. Step 6: Final answer
    x = 304.86

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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.