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Finding the Fourth Proportional to 387.89, 535.43 and 256.94

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Solution

The fourth proportional to 387.89, 535.43 and 256.94 is: 354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.89 : 535.43 = 256.94 : x
  2. Step 2: Convert to fraction form
    387.89/535.43 = 256.94/x
  3. Step 3: Cross multiply
    387.89x = 535.43 × 256.94
  4. Step 4: Simplify right side
    387.89x = 137,572.39
  5. Step 5: Solve for x
    x = 137,572.39/387.89
  6. Step 6: Final answer
    x = 354.67

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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.