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Finding the Fourth Proportional to 428.90, 591.89 and 242.37

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Solution

The fourth proportional to 428.90, 591.89 and 242.37 is: 334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.90 : 591.89 = 242.37 : x
  2. Step 2: Convert to fraction form
    428.90/591.89 = 242.37/x
  3. Step 3: Cross multiply
    428.90x = 591.89 × 242.37
  4. Step 4: Simplify right side
    428.90x = 143,455.17
  5. Step 5: Solve for x
    x = 143,455.17/428.90
  6. Step 6: Final answer
    x = 334.48

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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.