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Finding the Fourth Proportional to 394.07, 541.54 and 383.14

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Solution

The fourth proportional to 394.07, 541.54 and 383.14 is: 526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.07 : 541.54 = 383.14 : x
  2. Step 2: Convert to fraction form
    394.07/541.54 = 383.14/x
  3. Step 3: Cross multiply
    394.07x = 541.54 × 383.14
  4. Step 4: Simplify right side
    394.07x = 207,485.64
  5. Step 5: Solve for x
    x = 207,485.64/394.07
  6. Step 6: Final answer
    x = 526.52

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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.