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Finding the Fourth Proportional to 263.07, 363.15 and 257.67

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Solution

The fourth proportional to 263.07, 363.15 and 257.67 is: 355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.07 : 363.15 = 257.67 : x
  2. Step 2: Convert to fraction form
    263.07/363.15 = 257.67/x
  3. Step 3: Cross multiply
    263.07x = 363.15 × 257.67
  4. Step 4: Simplify right side
    263.07x = 93,572.86
  5. Step 5: Solve for x
    x = 93,572.86/263.07
  6. Step 6: Final answer
    x = 355.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.