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Finding the Fourth Proportional to 287, 427.16 and 280.16

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Solution

The fourth proportional to 287, 427.16 and 280.16 is: 416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    287 : 427.16 = 280.16 : x
  2. Step 2: Convert to fraction form
    287/427.16 = 280.16/x
  3. Step 3: Cross multiply
    287x = 427.16 × 280.16
  4. Step 4: Simplify right side
    287x = 119,673.15
  5. Step 5: Solve for x
    x = 119,673.15/287
  6. Step 6: Final answer
    x = 416.98

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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.