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Finding the Fourth Proportional to 326.40, 489.60 and 302.40

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Solution

The fourth proportional to 326.40, 489.60 and 302.40 is: 453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.40 : 489.60 = 302.40 : x
  2. Step 2: Convert to fraction form
    326.40/489.60 = 302.40/x
  3. Step 3: Cross multiply
    326.40x = 489.60 × 302.40
  4. Step 4: Simplify right side
    326.40x = 148,055.04
  5. Step 5: Solve for x
    x = 148,055.04/326.40
  6. Step 6: Final answer
    x = 453.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.