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Finding the Fourth Proportional to 535, 738.31 and 302.13

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Solution

The fourth proportional to 535, 738.31 and 302.13 is: 416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535 : 738.31 = 302.13 : x
  2. Step 2: Convert to fraction form
    535/738.31 = 302.13/x
  3. Step 3: Cross multiply
    535x = 738.31 × 302.13
  4. Step 4: Simplify right side
    535x = 223,064.09
  5. Step 5: Solve for x
    x = 223,064.09/535
  6. Step 6: Final answer
    x = 416.94

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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.