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Finding the Fourth Proportional to 259.16, 357.73 and 171.86

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Solution

The fourth proportional to 259.16, 357.73 and 171.86 is: 237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.16 : 357.73 = 171.86 : x
  2. Step 2: Convert to fraction form
    259.16/357.73 = 171.86/x
  3. Step 3: Cross multiply
    259.16x = 357.73 × 171.86
  4. Step 4: Simplify right side
    259.16x = 61,477.26
  5. Step 5: Solve for x
    x = 61,477.26/259.16
  6. Step 6: Final answer
    x = 237.22

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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.