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Finding the Fourth Proportional to 272.08, 406.03 and 242.88

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Solution

The fourth proportional to 272.08, 406.03 and 242.88 is: 362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.08 : 406.03 = 242.88 : x
  2. Step 2: Convert to fraction form
    272.08/406.03 = 242.88/x
  3. Step 3: Cross multiply
    272.08x = 406.03 × 242.88
  4. Step 4: Simplify right side
    272.08x = 98,616.37
  5. Step 5: Solve for x
    x = 98,616.37/272.08
  6. Step 6: Final answer
    x = 362.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.