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Finding the Fourth Proportional to 155.36, 233.86 and 112.32

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Solution

The fourth proportional to 155.36, 233.86 and 112.32 is: 169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.36 : 233.86 = 112.32 : x
  2. Step 2: Convert to fraction form
    155.36/233.86 = 112.32/x
  3. Step 3: Cross multiply
    155.36x = 233.86 × 112.32
  4. Step 4: Simplify right side
    155.36x = 26,267.16
  5. Step 5: Solve for x
    x = 26,267.16/155.36
  6. Step 6: Final answer
    x = 169.07

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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.