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Finding the Fourth Proportional to 535.64, 739.20 and 302.78

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Solution

The fourth proportional to 535.64, 739.20 and 302.78 is: 417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.64 : 739.20 = 302.78 : x
  2. Step 2: Convert to fraction form
    535.64/739.20 = 302.78/x
  3. Step 3: Cross multiply
    535.64x = 739.20 × 302.78
  4. Step 4: Simplify right side
    535.64x = 223,814.98
  5. Step 5: Solve for x
    x = 223,814.98/535.64
  6. Step 6: Final answer
    x = 417.85

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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.