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Finding the Fourth Proportional to 423.16, 584.03 and 318.77

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Solution

The fourth proportional to 423.16, 584.03 and 318.77 is: 439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 584.03 = 318.77 : x
  2. Step 2: Convert to fraction form
    423.16/584.03 = 318.77/x
  3. Step 3: Cross multiply
    423.16x = 584.03 × 318.77
  4. Step 4: Simplify right side
    423.16x = 186,171.24
  5. Step 5: Solve for x
    x = 186,171.24/423.16
  6. Step 6: Final answer
    x = 439.95

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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.