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Finding the Fourth Proportional to 272.14, 407.80 and 150.23

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Solution

The fourth proportional to 272.14, 407.80 and 150.23 is: 225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.14 : 407.80 = 150.23 : x
  2. Step 2: Convert to fraction form
    272.14/407.80 = 150.23/x
  3. Step 3: Cross multiply
    272.14x = 407.80 × 150.23
  4. Step 4: Simplify right side
    272.14x = 61,265.00
  5. Step 5: Solve for x
    x = 61,265.00/272.14
  6. Step 6: Final answer
    x = 225.13

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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.