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Finding the Fourth Proportional to 538.98, 742.93 and 364.02

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Solution

The fourth proportional to 538.98, 742.93 and 364.02 is: 501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.98 : 742.93 = 364.02 : x
  2. Step 2: Convert to fraction form
    538.98/742.93 = 364.02/x
  3. Step 3: Cross multiply
    538.98x = 742.93 × 364.02
  4. Step 4: Simplify right side
    538.98x = 270,441.38
  5. Step 5: Solve for x
    x = 270,441.38/538.98
  6. Step 6: Final answer
    x = 501.77

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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.