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Finding the Fourth Proportional to 405.72, 560.46 and 328.44

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Solution

The fourth proportional to 405.72, 560.46 and 328.44 is: 453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.72 : 560.46 = 328.44 : x
  2. Step 2: Convert to fraction form
    405.72/560.46 = 328.44/x
  3. Step 3: Cross multiply
    405.72x = 560.46 × 328.44
  4. Step 4: Simplify right side
    405.72x = 184,077.48
  5. Step 5: Solve for x
    x = 184,077.48/405.72
  6. Step 6: Final answer
    x = 453.71

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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.