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Finding the Fourth Proportional to 535, 738.33 and 302.20

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Solution

The fourth proportional to 535, 738.33 and 302.20 is: 417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535 : 738.33 = 302.20 : x
  2. Step 2: Convert to fraction form
    535/738.33 = 302.20/x
  3. Step 3: Cross multiply
    535x = 738.33 × 302.20
  4. Step 4: Simplify right side
    535x = 223,123.33
  5. Step 5: Solve for x
    x = 223,123.33/535
  6. Step 6: Final answer
    x = 417.05

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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.