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Finding the Fourth Proportional to 387.60, 533.70 and 328.20

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Solution

The fourth proportional to 387.60, 533.70 and 328.20 is: 451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.60 : 533.70 = 328.20 : x
  2. Step 2: Convert to fraction form
    387.60/533.70 = 328.20/x
  3. Step 3: Cross multiply
    387.60x = 533.70 × 328.20
  4. Step 4: Simplify right side
    387.60x = 175,160.34
  5. Step 5: Solve for x
    x = 175,160.34/387.60
  6. Step 6: Final answer
    x = 451.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.