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Finding the Fourth Proportional to 292.14, 400.68 and 284.82

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Solution

The fourth proportional to 292.14, 400.68 and 284.82 is: 390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.14 : 400.68 = 284.82 : x
  2. Step 2: Convert to fraction form
    292.14/400.68 = 284.82/x
  3. Step 3: Cross multiply
    292.14x = 400.68 × 284.82
  4. Step 4: Simplify right side
    292.14x = 114,121.68
  5. Step 5: Solve for x
    x = 114,121.68/292.14
  6. Step 6: Final answer
    x = 390.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.