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Finding the Fourth Proportional to 475.81, 656.57 and 276.60

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Solution

The fourth proportional to 475.81, 656.57 and 276.60 is: 381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.81 : 656.57 = 276.60 : x
  2. Step 2: Convert to fraction form
    475.81/656.57 = 276.60/x
  3. Step 3: Cross multiply
    475.81x = 656.57 × 276.60
  4. Step 4: Simplify right side
    475.81x = 181,607.26
  5. Step 5: Solve for x
    x = 181,607.26/475.81
  6. Step 6: Final answer
    x = 381.68

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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.