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Finding the Fourth Proportional to 152.35, 210.23 and 85.97

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Solution

The fourth proportional to 152.35, 210.23 and 85.97 is: 118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.35 : 210.23 = 85.97 : x
  2. Step 2: Convert to fraction form
    152.35/210.23 = 85.97/x
  3. Step 3: Cross multiply
    152.35x = 210.23 × 85.97
  4. Step 4: Simplify right side
    152.35x = 18,072.99
  5. Step 5: Solve for x
    x = 18,072.99/152.35
  6. Step 6: Final answer
    x = 118.63

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Why These Related Problems?

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