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Finding the Fourth Proportional to 320.14, 476.82 and 318.59

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Solution

The fourth proportional to 320.14, 476.82 and 318.59 is: 474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.14 : 476.82 = 318.59 : x
  2. Step 2: Convert to fraction form
    320.14/476.82 = 318.59/x
  3. Step 3: Cross multiply
    320.14x = 476.82 × 318.59
  4. Step 4: Simplify right side
    320.14x = 151,910.08
  5. Step 5: Solve for x
    x = 151,910.08/320.14
  6. Step 6: Final answer
    x = 474.51

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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.