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Finding the Fourth Proportional to 155.13, 233.61 and 135.08

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Solution

The fourth proportional to 155.13, 233.61 and 135.08 is: 203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.13 : 233.61 = 135.08 : x
  2. Step 2: Convert to fraction form
    155.13/233.61 = 135.08/x
  3. Step 3: Cross multiply
    155.13x = 233.61 × 135.08
  4. Step 4: Simplify right side
    155.13x = 31,556.00
  5. Step 5: Solve for x
    x = 31,556.00/155.13
  6. Step 6: Final answer
    x = 203.42

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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.