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Finding the Fourth Proportional to 381.40, 571.54 and 285.16

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Solution

The fourth proportional to 381.40, 571.54 and 285.16 is: 427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.40 : 571.54 = 285.16 : x
  2. Step 2: Convert to fraction form
    381.40/571.54 = 285.16/x
  3. Step 3: Cross multiply
    381.40x = 571.54 × 285.16
  4. Step 4: Simplify right side
    381.40x = 162,980.35
  5. Step 5: Solve for x
    x = 162,980.35/381.40
  6. Step 6: Final answer
    x = 427.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.