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Finding the Fourth Proportional to 406.64, 560.23 and 319.16

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Solution

The fourth proportional to 406.64, 560.23 and 319.16 is: 439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.64 : 560.23 = 319.16 : x
  2. Step 2: Convert to fraction form
    406.64/560.23 = 319.16/x
  3. Step 3: Cross multiply
    406.64x = 560.23 × 319.16
  4. Step 4: Simplify right side
    406.64x = 178,799.41
  5. Step 5: Solve for x
    x = 178,799.41/406.64
  6. Step 6: Final answer
    x = 439.70

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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.