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Finding the Fourth Proportional to 319.80, 474.60 and 305.28

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Solution

The fourth proportional to 319.80, 474.60 and 305.28 is: 453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.80 : 474.60 = 305.28 : x
  2. Step 2: Convert to fraction form
    319.80/474.60 = 305.28/x
  3. Step 3: Cross multiply
    319.80x = 474.60 × 305.28
  4. Step 4: Simplify right side
    319.80x = 144,885.89
  5. Step 5: Solve for x
    x = 144,885.89/319.80
  6. Step 6: Final answer
    x = 453.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.