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Finding the Fourth Proportional to 401.51, 601.83 and 170.20

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Solution

The fourth proportional to 401.51, 601.83 and 170.20 is: 255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.51 : 601.83 = 170.20 : x
  2. Step 2: Convert to fraction form
    401.51/601.83 = 170.20/x
  3. Step 3: Cross multiply
    401.51x = 601.83 × 170.20
  4. Step 4: Simplify right side
    401.51x = 102,432.22
  5. Step 5: Solve for x
    x = 102,432.22/401.51
  6. Step 6: Final answer
    x = 255.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.