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Finding the Fourth Proportional to 578, 866.48 and 212.53

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Solution

The fourth proportional to 578, 866.48 and 212.53 is: 318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    578 : 866.48 = 212.53 : x
  2. Step 2: Convert to fraction form
    578/866.48 = 212.53/x
  3. Step 3: Cross multiply
    578x = 866.48 × 212.53
  4. Step 4: Simplify right side
    578x = 184,152.99
  5. Step 5: Solve for x
    x = 184,152.99/578
  6. Step 6: Final answer
    x = 318.60

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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.