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Finding the Fourth Proportional to 285.84, 391.44 and 284.16

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Solution

The fourth proportional to 285.84, 391.44 and 284.16 is: 389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.84 : 391.44 = 284.16 : x
  2. Step 2: Convert to fraction form
    285.84/391.44 = 284.16/x
  3. Step 3: Cross multiply
    285.84x = 391.44 × 284.16
  4. Step 4: Simplify right side
    285.84x = 111,231.59
  5. Step 5: Solve for x
    x = 111,231.59/285.84
  6. Step 6: Final answer
    x = 389.14

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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.