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Finding the Fourth Proportional to 270.69, 373.32 and 257.67

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Solution

The fourth proportional to 270.69, 373.32 and 257.67 is: 355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.69 : 373.32 = 257.67 : x
  2. Step 2: Convert to fraction form
    270.69/373.32 = 257.67/x
  3. Step 3: Cross multiply
    270.69x = 373.32 × 257.67
  4. Step 4: Simplify right side
    270.69x = 96,193.36
  5. Step 5: Solve for x
    x = 96,193.36/270.69
  6. Step 6: Final answer
    x = 355.36

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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.