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Finding the Fourth Proportional to 155.51, 214.43 and 99.42

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Solution

The fourth proportional to 155.51, 214.43 and 99.42 is: 137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.51 : 214.43 = 99.42 : x
  2. Step 2: Convert to fraction form
    155.51/214.43 = 99.42/x
  3. Step 3: Cross multiply
    155.51x = 214.43 × 99.42
  4. Step 4: Simplify right side
    155.51x = 21,317.33
  5. Step 5: Solve for x
    x = 21,317.33/155.51
  6. Step 6: Final answer
    x = 137.08

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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.