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Finding the Fourth Proportional to 538.78, 743.50 and 302.72

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Solution

The fourth proportional to 538.78, 743.50 and 302.72 is: 417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.78 : 743.50 = 302.72 : x
  2. Step 2: Convert to fraction form
    538.78/743.50 = 302.72/x
  3. Step 3: Cross multiply
    538.78x = 743.50 × 302.72
  4. Step 4: Simplify right side
    538.78x = 225,074.62
  5. Step 5: Solve for x
    x = 225,074.62/538.78
  6. Step 6: Final answer
    x = 417.75

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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.