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Finding the Fourth Proportional to 254.36, 383.07 and 214.04

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Solution

The fourth proportional to 254.36, 383.07 and 214.04 is: 322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.36 : 383.07 = 214.04 : x
  2. Step 2: Convert to fraction form
    254.36/383.07 = 214.04/x
  3. Step 3: Cross multiply
    254.36x = 383.07 × 214.04
  4. Step 4: Simplify right side
    254.36x = 81,992.30
  5. Step 5: Solve for x
    x = 81,992.30/254.36
  6. Step 6: Final answer
    x = 322.35

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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.