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Finding the Fourth Proportional to 460.45, 689.80 and 229.21

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Solution

The fourth proportional to 460.45, 689.80 and 229.21 is: 343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.45 : 689.80 = 229.21 : x
  2. Step 2: Convert to fraction form
    460.45/689.80 = 229.21/x
  3. Step 3: Cross multiply
    460.45x = 689.80 × 229.21
  4. Step 4: Simplify right side
    460.45x = 158,106.76
  5. Step 5: Solve for x
    x = 158,106.76/460.45
  6. Step 6: Final answer
    x = 343.38

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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.