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Finding the Fourth Proportional to 315.59, 435.71 and 203.60

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Solution

The fourth proportional to 315.59, 435.71 and 203.60 is: 281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.59 : 435.71 = 203.60 : x
  2. Step 2: Convert to fraction form
    315.59/435.71 = 203.60/x
  3. Step 3: Cross multiply
    315.59x = 435.71 × 203.60
  4. Step 4: Simplify right side
    315.59x = 88,710.56
  5. Step 5: Solve for x
    x = 88,710.56/315.59
  6. Step 6: Final answer
    x = 281.09

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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.