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Finding the Fourth Proportional to 382.71, 570.59 and 345.81

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Solution

The fourth proportional to 382.71, 570.59 and 345.81 is: 515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.71 : 570.59 = 345.81 : x
  2. Step 2: Convert to fraction form
    382.71/570.59 = 345.81/x
  3. Step 3: Cross multiply
    382.71x = 570.59 × 345.81
  4. Step 4: Simplify right side
    382.71x = 197,315.73
  5. Step 5: Solve for x
    x = 197,315.73/382.71
  6. Step 6: Final answer
    x = 515.58

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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.