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Finding the Fourth Proportional to 474.88, 712.64 and 243.84

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Solution

The fourth proportional to 474.88, 712.64 and 243.84 is: 365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.88 : 712.64 = 243.84 : x
  2. Step 2: Convert to fraction form
    474.88/712.64 = 243.84/x
  3. Step 3: Cross multiply
    474.88x = 712.64 × 243.84
  4. Step 4: Simplify right side
    474.88x = 173,770.14
  5. Step 5: Solve for x
    x = 173,770.14/474.88
  6. Step 6: Final answer
    x = 365.92

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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.