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Finding the Fourth Proportional to 428.12, 590.65 and 250.93

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Solution

The fourth proportional to 428.12, 590.65 and 250.93 is: 346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.12 : 590.65 = 250.93 : x
  2. Step 2: Convert to fraction form
    428.12/590.65 = 250.93/x
  3. Step 3: Cross multiply
    428.12x = 590.65 × 250.93
  4. Step 4: Simplify right side
    428.12x = 148,211.80
  5. Step 5: Solve for x
    x = 148,211.80/428.12
  6. Step 6: Final answer
    x = 346.19

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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.