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Finding the Fourth Proportional to 285.92, 427.18 and 276.36

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Solution

The fourth proportional to 285.92, 427.18 and 276.36 is: 412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 427.18 = 276.36 : x
  2. Step 2: Convert to fraction form
    285.92/427.18 = 276.36/x
  3. Step 3: Cross multiply
    285.92x = 427.18 × 276.36
  4. Step 4: Simplify right side
    285.92x = 118,055.46
  5. Step 5: Solve for x
    x = 118,055.46/285.92
  6. Step 6: Final answer
    x = 412.90

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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.