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Finding the Fourth Proportional to 535.20, 738.57 and 302.31

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Solution

The fourth proportional to 535.20, 738.57 and 302.31 is: 417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.20 : 738.57 = 302.31 : x
  2. Step 2: Convert to fraction form
    535.20/738.57 = 302.31/x
  3. Step 3: Cross multiply
    535.20x = 738.57 × 302.31
  4. Step 4: Simplify right side
    535.20x = 223,277.10
  5. Step 5: Solve for x
    x = 223,277.10/535.20
  6. Step 6: Final answer
    x = 417.18

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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.