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Finding the Fourth Proportional to 158.52, 237.63 and 109.77

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Solution

The fourth proportional to 158.52, 237.63 and 109.77 is: 164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.52 : 237.63 = 109.77 : x
  2. Step 2: Convert to fraction form
    158.52/237.63 = 109.77/x
  3. Step 3: Cross multiply
    158.52x = 237.63 × 109.77
  4. Step 4: Simplify right side
    158.52x = 26,084.65
  5. Step 5: Solve for x
    x = 26,084.65/158.52
  6. Step 6: Final answer
    x = 164.55

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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.