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Finding the Fourth Proportional to 172.04, 259.24 and 142.28

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Solution

The fourth proportional to 172.04, 259.24 and 142.28 is: 214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.04 : 259.24 = 142.28 : x
  2. Step 2: Convert to fraction form
    172.04/259.24 = 142.28/x
  3. Step 3: Cross multiply
    172.04x = 259.24 × 142.28
  4. Step 4: Simplify right side
    172.04x = 36,884.67
  5. Step 5: Solve for x
    x = 36,884.67/172.04
  6. Step 6: Final answer
    x = 214.40

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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.