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Finding the Fourth Proportional to 270.99, 373.50 and 195.35

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Solution

The fourth proportional to 270.99, 373.50 and 195.35 is: 269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.99 : 373.50 = 195.35 : x
  2. Step 2: Convert to fraction form
    270.99/373.50 = 195.35/x
  3. Step 3: Cross multiply
    270.99x = 373.50 × 195.35
  4. Step 4: Simplify right side
    270.99x = 72,961.36
  5. Step 5: Solve for x
    x = 72,961.36/270.99
  6. Step 6: Final answer
    x = 269.24

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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.