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Finding the Fourth Proportional to 355.27, 489.16 and 302.71

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Solution

The fourth proportional to 355.27, 489.16 and 302.71 is: 416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.27 : 489.16 = 302.71 : x
  2. Step 2: Convert to fraction form
    355.27/489.16 = 302.71/x
  3. Step 3: Cross multiply
    355.27x = 489.16 × 302.71
  4. Step 4: Simplify right side
    355.27x = 148,073.62
  5. Step 5: Solve for x
    x = 148,073.62/355.27
  6. Step 6: Final answer
    x = 416.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.