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Finding the Fourth Proportional to 576.30, 864.53 and 206.00

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Solution

The fourth proportional to 576.30, 864.53 and 206.00 is: 309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.30 : 864.53 = 206.00 : x
  2. Step 2: Convert to fraction form
    576.30/864.53 = 206.00/x
  3. Step 3: Cross multiply
    576.30x = 864.53 × 206.00
  4. Step 4: Simplify right side
    576.30x = 178,091.84
  5. Step 5: Solve for x
    x = 178,091.84/576.30
  6. Step 6: Final answer
    x = 309.03

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Why These Related Problems?

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