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Finding the Fourth Proportional to 255.98, 383.90 and 73.36

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Solution

The fourth proportional to 255.98, 383.90 and 73.36 is: 110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.98 : 383.90 = 73.36 : x
  2. Step 2: Convert to fraction form
    255.98/383.90 = 73.36/x
  3. Step 3: Cross multiply
    255.98x = 383.90 × 73.36
  4. Step 4: Simplify right side
    255.98x = 28,162.90
  5. Step 5: Solve for x
    x = 28,162.90/255.98
  6. Step 6: Final answer
    x = 110.02

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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.