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Finding the Fourth Proportional to 285, 425.19 and 257.67

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Solution

The fourth proportional to 285, 425.19 and 257.67 is: 384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285 : 425.19 = 257.67 : x
  2. Step 2: Convert to fraction form
    285/425.19 = 257.67/x
  3. Step 3: Cross multiply
    285x = 425.19 × 257.67
  4. Step 4: Simplify right side
    285x = 109,558.71
  5. Step 5: Solve for x
    x = 109,558.71/285
  6. Step 6: Final answer
    x = 384.42

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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.