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Finding the Fourth Proportional to 435.16, 599.16 and 369.52

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Solution

The fourth proportional to 435.16, 599.16 and 369.52 is: 508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.16 : 599.16 = 369.52 : x
  2. Step 2: Convert to fraction form
    435.16/599.16 = 369.52/x
  3. Step 3: Cross multiply
    435.16x = 599.16 × 369.52
  4. Step 4: Simplify right side
    435.16x = 221,401.60
  5. Step 5: Solve for x
    x = 221,401.60/435.16
  6. Step 6: Final answer
    x = 508.78

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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.