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Finding the Fourth Proportional to 152.56, 210.56 and 107.68

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Solution

The fourth proportional to 152.56, 210.56 and 107.68 is: 148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.56 : 210.56 = 107.68 : x
  2. Step 2: Convert to fraction form
    152.56/210.56 = 107.68/x
  3. Step 3: Cross multiply
    152.56x = 210.56 × 107.68
  4. Step 4: Simplify right side
    152.56x = 22,673.10
  5. Step 5: Solve for x
    x = 22,673.10/152.56
  6. Step 6: Final answer
    x = 148.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.