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Finding the Fourth Proportional to 152.35, 227.80 and 102.79

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Solution

The fourth proportional to 152.35, 227.80 and 102.79 is: 153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.35 : 227.80 = 102.79 : x
  2. Step 2: Convert to fraction form
    152.35/227.80 = 102.79/x
  3. Step 3: Cross multiply
    152.35x = 227.80 × 102.79
  4. Step 4: Simplify right side
    152.35x = 23,415.12
  5. Step 5: Solve for x
    x = 23,415.12/152.35
  6. Step 6: Final answer
    x = 153.70

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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.