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Finding the Fourth Proportional to 538.07, 742.29 and 390.44

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Solution

The fourth proportional to 538.07, 742.29 and 390.44 is: 538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.07 : 742.29 = 390.44 : x
  2. Step 2: Convert to fraction form
    538.07/742.29 = 390.44/x
  3. Step 3: Cross multiply
    538.07x = 742.29 × 390.44
  4. Step 4: Simplify right side
    538.07x = 289,816.00
  5. Step 5: Solve for x
    x = 289,816.00/538.07
  6. Step 6: Final answer
    x = 538.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.