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Finding the Fourth Proportional to 332.40, 489.78 and 332.40

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Solution

The fourth proportional to 332.40, 489.78 and 332.40 is: 489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.40 : 489.78 = 332.40 : x
  2. Step 2: Convert to fraction form
    332.40/489.78 = 332.40/x
  3. Step 3: Cross multiply
    332.40x = 489.78 × 332.40
  4. Step 4: Simplify right side
    332.40x = 162,802.87
  5. Step 5: Solve for x
    x = 162,802.87/332.40
  6. Step 6: Final answer
    x = 489.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.