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Finding the Fourth Proportional to 428.01, 590.88 and 295.98

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Solution

The fourth proportional to 428.01, 590.88 and 295.98 is: 408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.01 : 590.88 = 295.98 : x
  2. Step 2: Convert to fraction form
    428.01/590.88 = 295.98/x
  3. Step 3: Cross multiply
    428.01x = 590.88 × 295.98
  4. Step 4: Simplify right side
    428.01x = 174,885.71
  5. Step 5: Solve for x
    x = 174,885.71/428.01
  6. Step 6: Final answer
    x = 408.61

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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.