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Finding the Fourth Proportional to 387.32, 533.58 and 320.50

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Solution

The fourth proportional to 387.32, 533.58 and 320.50 is: 441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.32 : 533.58 = 320.50 : x
  2. Step 2: Convert to fraction form
    387.32/533.58 = 320.50/x
  3. Step 3: Cross multiply
    387.32x = 533.58 × 320.50
  4. Step 4: Simplify right side
    387.32x = 171,012.39
  5. Step 5: Solve for x
    x = 171,012.39/387.32
  6. Step 6: Final answer
    x = 441.53

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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.