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Finding the Fourth Proportional to 435.77, 601.16 and 286.55

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Solution

The fourth proportional to 435.77, 601.16 and 286.55 is: 395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.77 : 601.16 = 286.55 : x
  2. Step 2: Convert to fraction form
    435.77/601.16 = 286.55/x
  3. Step 3: Cross multiply
    435.77x = 601.16 × 286.55
  4. Step 4: Simplify right side
    435.77x = 172,260.21
  5. Step 5: Solve for x
    x = 172,260.21/435.77
  6. Step 6: Final answer
    x = 395.30

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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.