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Finding the Fourth Proportional to 254, 348.98 and 212.48

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Solution

The fourth proportional to 254, 348.98 and 212.48 is: 291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254 : 348.98 = 212.48 : x
  2. Step 2: Convert to fraction form
    254/348.98 = 212.48/x
  3. Step 3: Cross multiply
    254x = 348.98 × 212.48
  4. Step 4: Simplify right side
    254x = 74,151.27
  5. Step 5: Solve for x
    x = 74,151.27/254
  6. Step 6: Final answer
    x = 291.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.