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Finding the Fourth Proportional to 280.16, 418 and 271.52

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Solution

The fourth proportional to 280.16, 418 and 271.52 is: 405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.16 : 418 = 271.52 : x
  2. Step 2: Convert to fraction form
    280.16/418 = 271.52/x
  3. Step 3: Cross multiply
    280.16x = 418 × 271.52
  4. Step 4: Simplify right side
    280.16x = 113,495.36
  5. Step 5: Solve for x
    x = 113,495.36/280.16
  6. Step 6: Final answer
    x = 405.11

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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.