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Finding the Fourth Proportional to 208.37, 313.75 and 172.16

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Solution

The fourth proportional to 208.37, 313.75 and 172.16 is: 259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.37 : 313.75 = 172.16 : x
  2. Step 2: Convert to fraction form
    208.37/313.75 = 172.16/x
  3. Step 3: Cross multiply
    208.37x = 313.75 × 172.16
  4. Step 4: Simplify right side
    208.37x = 54,013.63
  5. Step 5: Solve for x
    x = 54,013.63/208.37
  6. Step 6: Final answer
    x = 259.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.