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Finding the Fourth Proportional to 354.77, 489.59 and 214.86

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Solution

The fourth proportional to 354.77, 489.59 and 214.86 is: 296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.77 : 489.59 = 214.86 : x
  2. Step 2: Convert to fraction form
    354.77/489.59 = 214.86/x
  3. Step 3: Cross multiply
    354.77x = 489.59 × 214.86
  4. Step 4: Simplify right side
    354.77x = 105,194.87
  5. Step 5: Solve for x
    x = 105,194.87/354.77
  6. Step 6: Final answer
    x = 296.52

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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.