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Finding the Fourth Proportional to 389.88, 585.15 and 170.67

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Solution

The fourth proportional to 389.88, 585.15 and 170.67 is: 256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.88 : 585.15 = 170.67 : x
  2. Step 2: Convert to fraction form
    389.88/585.15 = 170.67/x
  3. Step 3: Cross multiply
    389.88x = 585.15 × 170.67
  4. Step 4: Simplify right side
    389.88x = 99,865.81
  5. Step 5: Solve for x
    x = 99,865.81/389.88
  6. Step 6: Final answer
    x = 256.15

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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.