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Finding the Fourth Proportional to 324.84, 489.18 and 270.50

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Solution

The fourth proportional to 324.84, 489.18 and 270.50 is: 407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.84 : 489.18 = 270.50 : x
  2. Step 2: Convert to fraction form
    324.84/489.18 = 270.50/x
  3. Step 3: Cross multiply
    324.84x = 489.18 × 270.50
  4. Step 4: Simplify right side
    324.84x = 132,323.19
  5. Step 5: Solve for x
    x = 132,323.19/324.84
  6. Step 6: Final answer
    x = 407.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.