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Finding the Fourth Proportional to 405.23, 604.90 and 375.19

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Solution

The fourth proportional to 405.23, 604.90 and 375.19 is: 560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.23 : 604.90 = 375.19 : x
  2. Step 2: Convert to fraction form
    405.23/604.90 = 375.19/x
  3. Step 3: Cross multiply
    405.23x = 604.90 × 375.19
  4. Step 4: Simplify right side
    405.23x = 226,949.28
  5. Step 5: Solve for x
    x = 226,949.28/405.23
  6. Step 6: Final answer
    x = 560.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.