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Finding the Fourth Proportional to 334.69, 461.60 and 210.22

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Solution

The fourth proportional to 334.69, 461.60 and 210.22 is: 289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.69 : 461.60 = 210.22 : x
  2. Step 2: Convert to fraction form
    334.69/461.60 = 210.22/x
  3. Step 3: Cross multiply
    334.69x = 461.60 × 210.22
  4. Step 4: Simplify right side
    334.69x = 97,037.55
  5. Step 5: Solve for x
    x = 97,037.55/334.69
  6. Step 6: Final answer
    x = 289.93

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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.