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Finding the Fourth Proportional to 291.94, 400.47 and 284.74

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Solution

The fourth proportional to 291.94, 400.47 and 284.74 is: 390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.94 : 400.47 = 284.74 : x
  2. Step 2: Convert to fraction form
    291.94/400.47 = 284.74/x
  3. Step 3: Cross multiply
    291.94x = 400.47 × 284.74
  4. Step 4: Simplify right side
    291.94x = 114,029.83
  5. Step 5: Solve for x
    x = 114,029.83/291.94
  6. Step 6: Final answer
    x = 390.59

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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.