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Finding the Fourth Proportional to 388.23, 581.83 and 285.03

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Solution

The fourth proportional to 388.23, 581.83 and 285.03 is: 427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.23 : 581.83 = 285.03 : x
  2. Step 2: Convert to fraction form
    388.23/581.83 = 285.03/x
  3. Step 3: Cross multiply
    388.23x = 581.83 × 285.03
  4. Step 4: Simplify right side
    388.23x = 165,834.67
  5. Step 5: Solve for x
    x = 165,834.67/388.23
  6. Step 6: Final answer
    x = 427.16

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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.