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Finding the Fourth Proportional to 102.36, 153.36 and 54.30

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Solution

The fourth proportional to 102.36, 153.36 and 54.30 is: 81.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.36 : 153.36 = 54.30 : x
  2. Step 2: Convert to fraction form
    102.36/153.36 = 54.30/x
  3. Step 3: Cross multiply
    102.36x = 153.36 × 54.30
  4. Step 4: Simplify right side
    102.36x = 8,327.45
  5. Step 5: Solve for x
    x = 8,327.45/102.36
  6. Step 6: Final answer
    x = 81.35

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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.