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Finding the Fourth Proportional to 575.94, 864 and 210.68

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Solution

The fourth proportional to 575.94, 864 and 210.68 is: 316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.94 : 864 = 210.68 : x
  2. Step 2: Convert to fraction form
    575.94/864 = 210.68/x
  3. Step 3: Cross multiply
    575.94x = 864 × 210.68
  4. Step 4: Simplify right side
    575.94x = 182,027.52
  5. Step 5: Solve for x
    x = 182,027.52/575.94
  6. Step 6: Final answer
    x = 316.05

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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.