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Finding the Fourth Proportional to 384.82, 531.01 and 227.51

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Solution

The fourth proportional to 384.82, 531.01 and 227.51 is: 313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.82 : 531.01 = 227.51 : x
  2. Step 2: Convert to fraction form
    384.82/531.01 = 227.51/x
  3. Step 3: Cross multiply
    384.82x = 531.01 × 227.51
  4. Step 4: Simplify right side
    384.82x = 120,809.71
  5. Step 5: Solve for x
    x = 120,809.71/384.82
  6. Step 6: Final answer
    x = 313.94

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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.