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Finding the Fourth Proportional to 172.02, 259.41 and 148.26

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Solution

The fourth proportional to 172.02, 259.41 and 148.26 is: 223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.02 : 259.41 = 148.26 : x
  2. Step 2: Convert to fraction form
    172.02/259.41 = 148.26/x
  3. Step 3: Cross multiply
    172.02x = 259.41 × 148.26
  4. Step 4: Simplify right side
    172.02x = 38,460.13
  5. Step 5: Solve for x
    x = 38,460.13/172.02
  6. Step 6: Final answer
    x = 223.58

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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.