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Finding the Fourth Proportional to 387.64, 581.42 and 156.46

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Solution

The fourth proportional to 387.64, 581.42 and 156.46 is: 234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.64 : 581.42 = 156.46 : x
  2. Step 2: Convert to fraction form
    387.64/581.42 = 156.46/x
  3. Step 3: Cross multiply
    387.64x = 581.42 × 156.46
  4. Step 4: Simplify right side
    387.64x = 90,968.97
  5. Step 5: Solve for x
    x = 90,968.97/387.64
  6. Step 6: Final answer
    x = 234.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.