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Finding the Fourth Proportional to 318.38, 479.58 and 284.54

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Solution

The fourth proportional to 318.38, 479.58 and 284.54 is: 428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.38 : 479.58 = 284.54 : x
  2. Step 2: Convert to fraction form
    318.38/479.58 = 284.54/x
  3. Step 3: Cross multiply
    318.38x = 479.58 × 284.54
  4. Step 4: Simplify right side
    318.38x = 136,459.69
  5. Step 5: Solve for x
    x = 136,459.69/318.38
  6. Step 6: Final answer
    x = 428.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.