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Finding the Fourth Proportional to 581.14, 871.82 and 256.51

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Solution

The fourth proportional to 581.14, 871.82 and 256.51 is: 384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.14 : 871.82 = 256.51 : x
  2. Step 2: Convert to fraction form
    581.14/871.82 = 256.51/x
  3. Step 3: Cross multiply
    581.14x = 871.82 × 256.51
  4. Step 4: Simplify right side
    581.14x = 223,630.55
  5. Step 5: Solve for x
    x = 223,630.55/581.14
  6. Step 6: Final answer
    x = 384.81

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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.