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Finding the Fourth Proportional to 319.96, 477.52 and 311.76

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Solution

The fourth proportional to 319.96, 477.52 and 311.76 is: 465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.96 : 477.52 = 311.76 : x
  2. Step 2: Convert to fraction form
    319.96/477.52 = 311.76/x
  3. Step 3: Cross multiply
    319.96x = 477.52 × 311.76
  4. Step 4: Simplify right side
    319.96x = 148,871.64
  5. Step 5: Solve for x
    x = 148,871.64/319.96
  6. Step 6: Final answer
    x = 465.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.