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Finding the Fourth Proportional to 354.36, 489.06 and 214.53

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Solution

The fourth proportional to 354.36, 489.06 and 214.53 is: 296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.36 : 489.06 = 214.53 : x
  2. Step 2: Convert to fraction form
    354.36/489.06 = 214.53/x
  3. Step 3: Cross multiply
    354.36x = 489.06 × 214.53
  4. Step 4: Simplify right side
    354.36x = 104,918.04
  5. Step 5: Solve for x
    x = 104,918.04/354.36
  6. Step 6: Final answer
    x = 296.08

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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.