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Finding the Fourth Proportional to 538.48, 742.80 and 390.94

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Solution

The fourth proportional to 538.48, 742.80 and 390.94 is: 539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.48 : 742.80 = 390.94 : x
  2. Step 2: Convert to fraction form
    538.48/742.80 = 390.94/x
  3. Step 3: Cross multiply
    538.48x = 742.80 × 390.94
  4. Step 4: Simplify right side
    538.48x = 290,390.23
  5. Step 5: Solve for x
    x = 290,390.23/538.48
  6. Step 6: Final answer
    x = 539.28

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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.