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Finding the Fourth Proportional to 387.75, 534.75 and 289.74

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Solution

The fourth proportional to 387.75, 534.75 and 289.74 is: 399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.75 : 534.75 = 289.74 : x
  2. Step 2: Convert to fraction form
    387.75/534.75 = 289.74/x
  3. Step 3: Cross multiply
    387.75x = 534.75 × 289.74
  4. Step 4: Simplify right side
    387.75x = 154,938.47
  5. Step 5: Solve for x
    x = 154,938.47/387.75
  6. Step 6: Final answer
    x = 399.58

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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.