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Finding the Fourth Proportional to 406.28, 608.04 and 357.50

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Solution

The fourth proportional to 406.28, 608.04 and 357.50 is: 535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.28 : 608.04 = 357.50 : x
  2. Step 2: Convert to fraction form
    406.28/608.04 = 357.50/x
  3. Step 3: Cross multiply
    406.28x = 608.04 × 357.50
  4. Step 4: Simplify right side
    406.28x = 217,374.30
  5. Step 5: Solve for x
    x = 217,374.30/406.28
  6. Step 6: Final answer
    x = 535.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.