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Finding the Fourth Proportional to 428, 590.64 and 272.76

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Solution

The fourth proportional to 428, 590.64 and 272.76 is: 376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428 : 590.64 = 272.76 : x
  2. Step 2: Convert to fraction form
    428/590.64 = 272.76/x
  3. Step 3: Cross multiply
    428x = 590.64 × 272.76
  4. Step 4: Simplify right side
    428x = 161,102.97
  5. Step 5: Solve for x
    x = 161,102.97/428
  6. Step 6: Final answer
    x = 376.41

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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.