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Finding the Fourth Proportional to 200.46, 300.58 and 135.45

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Solution

The fourth proportional to 200.46, 300.58 and 135.45 is: 203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 300.58 = 135.45 : x
  2. Step 2: Convert to fraction form
    200.46/300.58 = 135.45/x
  3. Step 3: Cross multiply
    200.46x = 300.58 × 135.45
  4. Step 4: Simplify right side
    200.46x = 40,714.31
  5. Step 5: Solve for x
    x = 40,714.31/200.46
  6. Step 6: Final answer
    x = 203.11

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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.