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Finding the Fourth Proportional to 155.55, 233.46 and 135.21

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Solution

The fourth proportional to 155.55, 233.46 and 135.21 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.55 : 233.46 = 135.21 : x
  2. Step 2: Convert to fraction form
    155.55/233.46 = 135.21/x
  3. Step 3: Cross multiply
    155.55x = 233.46 × 135.21
  4. Step 4: Simplify right side
    155.55x = 31,566.13
  5. Step 5: Solve for x
    x = 31,566.13/155.55
  6. Step 6: Final answer
    x = 202.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.