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Finding the Fourth Proportional to 158.25, 235.86 and 151.47

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Solution

The fourth proportional to 158.25, 235.86 and 151.47 is: 225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.25 : 235.86 = 151.47 : x
  2. Step 2: Convert to fraction form
    158.25/235.86 = 151.47/x
  3. Step 3: Cross multiply
    158.25x = 235.86 × 151.47
  4. Step 4: Simplify right side
    158.25x = 35,726.00
  5. Step 5: Solve for x
    x = 35,726.00/158.25
  6. Step 6: Final answer
    x = 225.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.