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Finding the Fourth Proportional to 155.32, 214.52 and 100.09

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Solution

The fourth proportional to 155.32, 214.52 and 100.09 is: 138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.32 : 214.52 = 100.09 : x
  2. Step 2: Convert to fraction form
    155.32/214.52 = 100.09/x
  3. Step 3: Cross multiply
    155.32x = 214.52 × 100.09
  4. Step 4: Simplify right side
    155.32x = 21,470.81
  5. Step 5: Solve for x
    x = 21,470.81/155.32
  6. Step 6: Final answer
    x = 138.24

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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.