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Finding the Fourth Proportional to 354.64, 489.34 and 214.74

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Solution

The fourth proportional to 354.64, 489.34 and 214.74 is: 296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.64 : 489.34 = 214.74 : x
  2. Step 2: Convert to fraction form
    354.64/489.34 = 214.74/x
  3. Step 3: Cross multiply
    354.64x = 489.34 × 214.74
  4. Step 4: Simplify right side
    354.64x = 105,080.87
  5. Step 5: Solve for x
    x = 105,080.87/354.64
  6. Step 6: Final answer
    x = 296.30

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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.