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Finding the Fourth Proportional to 155.10, 204.78 and 155.10

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Solution

The fourth proportional to 155.10, 204.78 and 155.10 is: 204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.10 : 204.78 = 155.10 : x
  2. Step 2: Convert to fraction form
    155.10/204.78 = 155.10/x
  3. Step 3: Cross multiply
    155.10x = 204.78 × 155.10
  4. Step 4: Simplify right side
    155.10x = 31,761.38
  5. Step 5: Solve for x
    x = 31,761.38/155.10
  6. Step 6: Final answer
    x = 204.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.