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Finding the Fourth Proportional to 174.07, 259.81 and 153.57

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Solution

The fourth proportional to 174.07, 259.81 and 153.57 is: 229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.07 : 259.81 = 153.57 : x
  2. Step 2: Convert to fraction form
    174.07/259.81 = 153.57/x
  3. Step 3: Cross multiply
    174.07x = 259.81 × 153.57
  4. Step 4: Simplify right side
    174.07x = 39,899.02
  5. Step 5: Solve for x
    x = 39,899.02/174.07
  6. Step 6: Final answer
    x = 229.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.