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Finding the Fourth Proportional to 535.74, 803.34 and 261.69

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Solution

The fourth proportional to 535.74, 803.34 and 261.69 is: 392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.74 : 803.34 = 261.69 : x
  2. Step 2: Convert to fraction form
    535.74/803.34 = 261.69/x
  3. Step 3: Cross multiply
    535.74x = 803.34 × 261.69
  4. Step 4: Simplify right side
    535.74x = 210,226.04
  5. Step 5: Solve for x
    x = 210,226.04/535.74
  6. Step 6: Final answer
    x = 392.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.