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Finding the Fourth Proportional to 272.07, 407.41 and 150.20

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Solution

The fourth proportional to 272.07, 407.41 and 150.20 is: 224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.07 : 407.41 = 150.20 : x
  2. Step 2: Convert to fraction form
    272.07/407.41 = 150.20/x
  3. Step 3: Cross multiply
    272.07x = 407.41 × 150.20
  4. Step 4: Simplify right side
    272.07x = 61,192.98
  5. Step 5: Solve for x
    x = 61,192.98/272.07
  6. Step 6: Final answer
    x = 224.92

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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.