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Finding the Fourth Proportional to 280.23, 418.23 and 272.94

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Solution

The fourth proportional to 280.23, 418.23 and 272.94 is: 407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.23 : 418.23 = 272.94 : x
  2. Step 2: Convert to fraction form
    280.23/418.23 = 272.94/x
  3. Step 3: Cross multiply
    280.23x = 418.23 × 272.94
  4. Step 4: Simplify right side
    280.23x = 114,154.52
  5. Step 5: Solve for x
    x = 114,154.52/280.23
  6. Step 6: Final answer
    x = 407.35

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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.