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Finding the Fourth Proportional to 214.02, 319.78 and 172.90

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Solution

The fourth proportional to 214.02, 319.78 and 172.90 is: 258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.02 : 319.78 = 172.90 : x
  2. Step 2: Convert to fraction form
    214.02/319.78 = 172.90/x
  3. Step 3: Cross multiply
    214.02x = 319.78 × 172.90
  4. Step 4: Simplify right side
    214.02x = 55,289.96
  5. Step 5: Solve for x
    x = 55,289.96/214.02
  6. Step 6: Final answer
    x = 258.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.