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Finding the Fourth Proportional to 255, 381.60 and 152.34

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Solution

The fourth proportional to 255, 381.60 and 152.34 is: 227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255 : 381.60 = 152.34 : x
  2. Step 2: Convert to fraction form
    255/381.60 = 152.34/x
  3. Step 3: Cross multiply
    255x = 381.60 × 152.34
  4. Step 4: Simplify right side
    255x = 58,132.94
  5. Step 5: Solve for x
    x = 58,132.94/255
  6. Step 6: Final answer
    x = 227.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.