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Finding the Fourth Proportional to 405.90, 552.60 and 402.30

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Solution

The fourth proportional to 405.90, 552.60 and 402.30 is: 547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.90 : 552.60 = 402.30 : x
  2. Step 2: Convert to fraction form
    405.90/552.60 = 402.30/x
  3. Step 3: Cross multiply
    405.90x = 552.60 × 402.30
  4. Step 4: Simplify right side
    405.90x = 222,310.98
  5. Step 5: Solve for x
    x = 222,310.98/405.90
  6. Step 6: Final answer
    x = 547.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.