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Finding the Fourth Proportional to 578, 866.97 and 212.51

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Solution

The fourth proportional to 578, 866.97 and 212.51 is: 318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    578 : 866.97 = 212.51 : x
  2. Step 2: Convert to fraction form
    578/866.97 = 212.51/x
  3. Step 3: Cross multiply
    578x = 866.97 × 212.51
  4. Step 4: Simplify right side
    578x = 184,239.79
  5. Step 5: Solve for x
    x = 184,239.79/578
  6. Step 6: Final answer
    x = 318.75

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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.