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Finding the Fourth Proportional to 287.13, 428.91 and 246.12

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Solution

The fourth proportional to 287.13, 428.91 and 246.12 is: 367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.13 : 428.91 = 246.12 : x
  2. Step 2: Convert to fraction form
    287.13/428.91 = 246.12/x
  3. Step 3: Cross multiply
    287.13x = 428.91 × 246.12
  4. Step 4: Simplify right side
    287.13x = 105,563.33
  5. Step 5: Solve for x
    x = 105,563.33/287.13
  6. Step 6: Final answer
    x = 367.65

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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.