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Finding the Fourth Proportional to 435.36, 652.71 and 252.57

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Solution

The fourth proportional to 435.36, 652.71 and 252.57 is: 378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.36 : 652.71 = 252.57 : x
  2. Step 2: Convert to fraction form
    435.36/652.71 = 252.57/x
  3. Step 3: Cross multiply
    435.36x = 652.71 × 252.57
  4. Step 4: Simplify right side
    435.36x = 164,854.96
  5. Step 5: Solve for x
    x = 164,854.96/435.36
  6. Step 6: Final answer
    x = 378.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.