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Finding the Fourth Proportional to 475.41, 656.06 and 278.94

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Solution

The fourth proportional to 475.41, 656.06 and 278.94 is: 384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.41 : 656.06 = 278.94 : x
  2. Step 2: Convert to fraction form
    475.41/656.06 = 278.94/x
  3. Step 3: Cross multiply
    475.41x = 656.06 × 278.94
  4. Step 4: Simplify right side
    475.41x = 182,999.98
  5. Step 5: Solve for x
    x = 182,999.98/475.41
  6. Step 6: Final answer
    x = 384.93

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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.