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Finding the Fourth Proportional to 152.63, 210.78 and 113.75

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Solution

The fourth proportional to 152.63, 210.78 and 113.75 is: 157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.63 : 210.78 = 113.75 : x
  2. Step 2: Convert to fraction form
    152.63/210.78 = 113.75/x
  3. Step 3: Cross multiply
    152.63x = 210.78 × 113.75
  4. Step 4: Simplify right side
    152.63x = 23,975.17
  5. Step 5: Solve for x
    x = 23,975.17/152.63
  6. Step 6: Final answer
    x = 157.09

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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.