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Finding the Fourth Proportional to 535.31, 738.77 and 302.44

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Solution

The fourth proportional to 535.31, 738.77 and 302.44 is: 417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.31 : 738.77 = 302.44 : x
  2. Step 2: Convert to fraction form
    535.31/738.77 = 302.44/x
  3. Step 3: Cross multiply
    535.31x = 738.77 × 302.44
  4. Step 4: Simplify right side
    535.31x = 223,433.60
  5. Step 5: Solve for x
    x = 223,433.60/535.31
  6. Step 6: Final answer
    x = 417.39

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Double scale
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1.5x scale

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.