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Finding the Fourth Proportional to 387.76, 533.51 and 338.76

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Solution

The fourth proportional to 387.76, 533.51 and 338.76 is: 466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.76 : 533.51 = 338.76 : x
  2. Step 2: Convert to fraction form
    387.76/533.51 = 338.76/x
  3. Step 3: Cross multiply
    387.76x = 533.51 × 338.76
  4. Step 4: Simplify right side
    387.76x = 180,727.49
  5. Step 5: Solve for x
    x = 180,727.49/387.76
  6. Step 6: Final answer
    x = 466.08

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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.