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Finding the Fourth Proportional to 292, 401.68 and 280.16

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Solution

The fourth proportional to 292, 401.68 and 280.16 is: 385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292 : 401.68 = 280.16 : x
  2. Step 2: Convert to fraction form
    292/401.68 = 280.16/x
  3. Step 3: Cross multiply
    292x = 401.68 × 280.16
  4. Step 4: Simplify right side
    292x = 112,534.67
  5. Step 5: Solve for x
    x = 112,534.67/292
  6. Step 6: Final answer
    x = 385.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.