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Finding the Fourth Proportional to 152.97, 211.05 and 87.46

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Solution

The fourth proportional to 152.97, 211.05 and 87.46 is: 120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.97 : 211.05 = 87.46 : x
  2. Step 2: Convert to fraction form
    152.97/211.05 = 87.46/x
  3. Step 3: Cross multiply
    152.97x = 211.05 × 87.46
  4. Step 4: Simplify right side
    152.97x = 18,458.43
  5. Step 5: Solve for x
    x = 18,458.43/152.97
  6. Step 6: Final answer
    x = 120.67

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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.