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Finding the Fourth Proportional to 343.12, 514.72 and 172.24

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Solution

The fourth proportional to 343.12, 514.72 and 172.24 is: 258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.12 : 514.72 = 172.24 : x
  2. Step 2: Convert to fraction form
    343.12/514.72 = 172.24/x
  3. Step 3: Cross multiply
    343.12x = 514.72 × 172.24
  4. Step 4: Simplify right side
    343.12x = 88,655.37
  5. Step 5: Solve for x
    x = 88,655.37/343.12
  6. Step 6: Final answer
    x = 258.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.