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Finding the Fourth Proportional to 405.72, 560.61 and 364.80

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Solution

The fourth proportional to 405.72, 560.61 and 364.80 is: 504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.72 : 560.61 = 364.80 : x
  2. Step 2: Convert to fraction form
    405.72/560.61 = 364.80/x
  3. Step 3: Cross multiply
    405.72x = 560.61 × 364.80
  4. Step 4: Simplify right side
    405.72x = 204,510.53
  5. Step 5: Solve for x
    x = 204,510.53/405.72
  6. Step 6: Final answer
    x = 504.07

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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.