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Finding the Fourth Proportional to 344.40, 512.98 and 328.60

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Solution

The fourth proportional to 344.40, 512.98 and 328.60 is: 489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.40 : 512.98 = 328.60 : x
  2. Step 2: Convert to fraction form
    344.40/512.98 = 328.60/x
  3. Step 3: Cross multiply
    344.40x = 512.98 × 328.60
  4. Step 4: Simplify right side
    344.40x = 168,565.23
  5. Step 5: Solve for x
    x = 168,565.23/344.40
  6. Step 6: Final answer
    x = 489.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.