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Finding the Fourth Proportional to 155.20, 233.80 and 142.08

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Solution

The fourth proportional to 155.20, 233.80 and 142.08 is: 214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.20 : 233.80 = 142.08 : x
  2. Step 2: Convert to fraction form
    155.20/233.80 = 142.08/x
  3. Step 3: Cross multiply
    155.20x = 233.80 × 142.08
  4. Step 4: Simplify right side
    155.20x = 33,218.30
  5. Step 5: Solve for x
    x = 33,218.30/155.20
  6. Step 6: Final answer
    x = 214.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.