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Finding the Fourth Proportional to 434.25, 599.27 and 318.02

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Solution

The fourth proportional to 434.25, 599.27 and 318.02 is: 438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.25 : 599.27 = 318.02 : x
  2. Step 2: Convert to fraction form
    434.25/599.27 = 318.02/x
  3. Step 3: Cross multiply
    434.25x = 599.27 × 318.02
  4. Step 4: Simplify right side
    434.25x = 190,575.26
  5. Step 5: Solve for x
    x = 190,575.26/434.25
  6. Step 6: Final answer
    x = 438.86

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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.