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Finding the Fourth Proportional to 263.07, 393.03 and 257.67

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Solution

The fourth proportional to 263.07, 393.03 and 257.67 is: 384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.07 : 393.03 = 257.67 : x
  2. Step 2: Convert to fraction form
    263.07/393.03 = 257.67/x
  3. Step 3: Cross multiply
    263.07x = 393.03 × 257.67
  4. Step 4: Simplify right side
    263.07x = 101,272.04
  5. Step 5: Solve for x
    x = 101,272.04/263.07
  6. Step 6: Final answer
    x = 384.96

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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.