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Finding the Fourth Proportional to 475.77, 656.46 and 279.23

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Solution

The fourth proportional to 475.77, 656.46 and 279.23 is: 385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.77 : 656.46 = 279.23 : x
  2. Step 2: Convert to fraction form
    475.77/656.46 = 279.23/x
  3. Step 3: Cross multiply
    475.77x = 656.46 × 279.23
  4. Step 4: Simplify right side
    475.77x = 183,303.33
  5. Step 5: Solve for x
    x = 183,303.33/475.77
  6. Step 6: Final answer
    x = 385.28

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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.