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Finding the Fourth Proportional to 435.27, 600.57 and 288.15

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Solution

The fourth proportional to 435.27, 600.57 and 288.15 is: 397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.27 : 600.57 = 288.15 : x
  2. Step 2: Convert to fraction form
    435.27/600.57 = 288.15/x
  3. Step 3: Cross multiply
    435.27x = 600.57 × 288.15
  4. Step 4: Simplify right side
    435.27x = 173,054.25
  5. Step 5: Solve for x
    x = 173,054.25/435.27
  6. Step 6: Final answer
    x = 397.58

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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.