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Finding the Fourth Proportional to 271.16, 407.12 and 149.51

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Solution

The fourth proportional to 271.16, 407.12 and 149.51 is: 224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.16 : 407.12 = 149.51 : x
  2. Step 2: Convert to fraction form
    271.16/407.12 = 149.51/x
  3. Step 3: Cross multiply
    271.16x = 407.12 × 149.51
  4. Step 4: Simplify right side
    271.16x = 60,868.78
  5. Step 5: Solve for x
    x = 60,868.78/271.16
  6. Step 6: Final answer
    x = 224.48

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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.