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Finding the Fourth Proportional to 405.21, 607.29 and 353.61

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Solution

The fourth proportional to 405.21, 607.29 and 353.61 is: 529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.21 : 607.29 = 353.61 : x
  2. Step 2: Convert to fraction form
    405.21/607.29 = 353.61/x
  3. Step 3: Cross multiply
    405.21x = 607.29 × 353.61
  4. Step 4: Simplify right side
    405.21x = 214,743.82
  5. Step 5: Solve for x
    x = 214,743.82/405.21
  6. Step 6: Final answer
    x = 529.96

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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.