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Finding the Fourth Proportional to 271.81, 407.76 and 89.20

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Solution

The fourth proportional to 271.81, 407.76 and 89.20 is: 133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.81 : 407.76 = 89.20 : x
  2. Step 2: Convert to fraction form
    271.81/407.76 = 89.20/x
  3. Step 3: Cross multiply
    271.81x = 407.76 × 89.20
  4. Step 4: Simplify right side
    271.81x = 36,372.19
  5. Step 5: Solve for x
    x = 36,372.19/271.81
  6. Step 6: Final answer
    x = 133.81

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Why These Related Problems?

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