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Finding the Fourth Proportional to 382.60, 570.29 and 346.60

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Solution

The fourth proportional to 382.60, 570.29 and 346.60 is: 516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.60 : 570.29 = 346.60 : x
  2. Step 2: Convert to fraction form
    382.60/570.29 = 346.60/x
  3. Step 3: Cross multiply
    382.60x = 570.29 × 346.60
  4. Step 4: Simplify right side
    382.60x = 197,662.51
  5. Step 5: Solve for x
    x = 197,662.51/382.60
  6. Step 6: Final answer
    x = 516.63

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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.