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Finding the Fourth Proportional to 388.83, 580.50 and 320.49

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Solution

The fourth proportional to 388.83, 580.50 and 320.49 is: 478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.83 : 580.50 = 320.49 : x
  2. Step 2: Convert to fraction form
    388.83/580.50 = 320.49/x
  3. Step 3: Cross multiply
    388.83x = 580.50 × 320.49
  4. Step 4: Simplify right side
    388.83x = 186,044.45
  5. Step 5: Solve for x
    x = 186,044.45/388.83
  6. Step 6: Final answer
    x = 478.47

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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.