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Finding the Fourth Proportional to 281.98, 389.24 and 183.76

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Solution

The fourth proportional to 281.98, 389.24 and 183.76 is: 253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.98 : 389.24 = 183.76 : x
  2. Step 2: Convert to fraction form
    281.98/389.24 = 183.76/x
  3. Step 3: Cross multiply
    281.98x = 389.24 × 183.76
  4. Step 4: Simplify right side
    281.98x = 71,526.74
  5. Step 5: Solve for x
    x = 71,526.74/281.98
  6. Step 6: Final answer
    x = 253.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.