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Finding the Fourth Proportional to 475.89, 656.74 and 279.40

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Solution

The fourth proportional to 475.89, 656.74 and 279.40 is: 385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.89 : 656.74 = 279.40 : x
  2. Step 2: Convert to fraction form
    475.89/656.74 = 279.40/x
  3. Step 3: Cross multiply
    475.89x = 656.74 × 279.40
  4. Step 4: Simplify right side
    475.89x = 183,491.52
  5. Step 5: Solve for x
    x = 183,491.52/475.89
  6. Step 6: Final answer
    x = 385.58

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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.