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Finding the Fourth Proportional to 406.71, 560.64 and 319.23

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Solution

The fourth proportional to 406.71, 560.64 and 319.23 is: 440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.71 : 560.64 = 319.23 : x
  2. Step 2: Convert to fraction form
    406.71/560.64 = 319.23/x
  3. Step 3: Cross multiply
    406.71x = 560.64 × 319.23
  4. Step 4: Simplify right side
    406.71x = 178,973.11
  5. Step 5: Solve for x
    x = 178,973.11/406.71
  6. Step 6: Final answer
    x = 440.05

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