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Finding the Fourth Proportional to 388.75, 580.52 and 320.08

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Solution

The fourth proportional to 388.75, 580.52 and 320.08 is: 477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.75 : 580.52 = 320.08 : x
  2. Step 2: Convert to fraction form
    388.75/580.52 = 320.08/x
  3. Step 3: Cross multiply
    388.75x = 580.52 × 320.08
  4. Step 4: Simplify right side
    388.75x = 185,812.84
  5. Step 5: Solve for x
    x = 185,812.84/388.75
  6. Step 6: Final answer
    x = 477.98

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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.