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Finding the Fourth Proportional to 355.01, 489.80 and 215.06

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Solution

The fourth proportional to 355.01, 489.80 and 215.06 is: 296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.01 : 489.80 = 215.06 : x
  2. Step 2: Convert to fraction form
    355.01/489.80 = 215.06/x
  3. Step 3: Cross multiply
    355.01x = 489.80 × 215.06
  4. Step 4: Simplify right side
    355.01x = 105,333.27
  5. Step 5: Solve for x
    x = 105,333.27/355.01
  6. Step 6: Final answer
    x = 296.71

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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.