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Finding the Fourth Proportional to 155.27, 233 and 90.23

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Solution

The fourth proportional to 155.27, 233 and 90.23 is: 135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.27 : 233 = 90.23 : x
  2. Step 2: Convert to fraction form
    155.27/233 = 90.23/x
  3. Step 3: Cross multiply
    155.27x = 233 × 90.23
  4. Step 4: Simplify right side
    155.27x = 21,023.59
  5. Step 5: Solve for x
    x = 21,023.59/155.27
  6. Step 6: Final answer
    x = 135.40

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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.