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Finding the Fourth Proportional to 254.17, 379.45 and 228.07

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Solution

The fourth proportional to 254.17, 379.45 and 228.07 is: 340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.17 : 379.45 = 228.07 : x
  2. Step 2: Convert to fraction form
    254.17/379.45 = 228.07/x
  3. Step 3: Cross multiply
    254.17x = 379.45 × 228.07
  4. Step 4: Simplify right side
    254.17x = 86,541.16
  5. Step 5: Solve for x
    x = 86,541.16/254.17
  6. Step 6: Final answer
    x = 340.49

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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.