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Finding the Fourth Proportional to 471.45, 707.17 and 256.39

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Solution

The fourth proportional to 471.45, 707.17 and 256.39 is: 384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.45 : 707.17 = 256.39 : x
  2. Step 2: Convert to fraction form
    471.45/707.17 = 256.39/x
  3. Step 3: Cross multiply
    471.45x = 707.17 × 256.39
  4. Step 4: Simplify right side
    471.45x = 181,313.37
  5. Step 5: Solve for x
    x = 181,313.37/471.45
  6. Step 6: Final answer
    x = 384.59

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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.