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Finding the Fourth Proportional to 155.40, 218.10 and 155.40

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Solution

The fourth proportional to 155.40, 218.10 and 155.40 is: 218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.40 : 218.10 = 155.40 : x
  2. Step 2: Convert to fraction form
    155.40/218.10 = 155.40/x
  3. Step 3: Cross multiply
    155.40x = 218.10 × 155.40
  4. Step 4: Simplify right side
    155.40x = 33,892.74
  5. Step 5: Solve for x
    x = 33,892.74/155.40
  6. Step 6: Final answer
    x = 218.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.