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Finding the Fourth Proportional to 286.63, 427.18 and 284.23

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Solution

The fourth proportional to 286.63, 427.18 and 284.23 is: 423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.63 : 427.18 = 284.23 : x
  2. Step 2: Convert to fraction form
    286.63/427.18 = 284.23/x
  3. Step 3: Cross multiply
    286.63x = 427.18 × 284.23
  4. Step 4: Simplify right side
    286.63x = 121,417.37
  5. Step 5: Solve for x
    x = 121,417.37/286.63
  6. Step 6: Final answer
    x = 423.60

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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.