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Finding the Fourth Proportional to 155.13, 214.01 and 102.70

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Solution

The fourth proportional to 155.13, 214.01 and 102.70 is: 141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.13 : 214.01 = 102.70 : x
  2. Step 2: Convert to fraction form
    155.13/214.01 = 102.70/x
  3. Step 3: Cross multiply
    155.13x = 214.01 × 102.70
  4. Step 4: Simplify right side
    155.13x = 21,978.01
  5. Step 5: Solve for x
    x = 21,978.01/155.13
  6. Step 6: Final answer
    x = 141.68

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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.