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Finding the Fourth Proportional to 262.46, 393.38 and 117.88

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Solution

The fourth proportional to 262.46, 393.38 and 117.88 is: 176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.46 : 393.38 = 117.88 : x
  2. Step 2: Convert to fraction form
    262.46/393.38 = 117.88/x
  3. Step 3: Cross multiply
    262.46x = 393.38 × 117.88
  4. Step 4: Simplify right side
    262.46x = 46,371.63
  5. Step 5: Solve for x
    x = 46,371.63/262.46
  6. Step 6: Final answer
    x = 176.68

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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.