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Finding the Fourth Proportional to 255.30, 352.40 and 157.07

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Solution

The fourth proportional to 255.30, 352.40 and 157.07 is: 216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.30 : 352.40 = 157.07 : x
  2. Step 2: Convert to fraction form
    255.30/352.40 = 157.07/x
  3. Step 3: Cross multiply
    255.30x = 352.40 × 157.07
  4. Step 4: Simplify right side
    255.30x = 55,348.92
  5. Step 5: Solve for x
    x = 55,348.92/255.30
  6. Step 6: Final answer
    x = 216.80

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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.