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Finding the Fourth Proportional to 405.73, 560.01 and 240.09

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Solution

The fourth proportional to 405.73, 560.01 and 240.09 is: 331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.73 : 560.01 = 240.09 : x
  2. Step 2: Convert to fraction form
    405.73/560.01 = 240.09/x
  3. Step 3: Cross multiply
    405.73x = 560.01 × 240.09
  4. Step 4: Simplify right side
    405.73x = 134,452.80
  5. Step 5: Solve for x
    x = 134,452.80/405.73
  6. Step 6: Final answer
    x = 331.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.