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Finding the Fourth Proportional to 405.42, 609.48 and 375.36

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Solution

The fourth proportional to 405.42, 609.48 and 375.36 is: 564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 609.48 = 375.36 : x
  2. Step 2: Convert to fraction form
    405.42/609.48 = 375.36/x
  3. Step 3: Cross multiply
    405.42x = 609.48 × 375.36
  4. Step 4: Simplify right side
    405.42x = 228,774.41
  5. Step 5: Solve for x
    x = 228,774.41/405.42
  6. Step 6: Final answer
    x = 564.29

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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.