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Finding the Fourth Proportional to 428.20, 590.70 and 297.16

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Solution

The fourth proportional to 428.20, 590.70 and 297.16 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.20 : 590.70 = 297.16 : x
  2. Step 2: Convert to fraction form
    428.20/590.70 = 297.16/x
  3. Step 3: Cross multiply
    428.20x = 590.70 × 297.16
  4. Step 4: Simplify right side
    428.20x = 175,532.41
  5. Step 5: Solve for x
    x = 175,532.41/428.20
  6. Step 6: Final answer
    x = 409.93

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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.