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Finding the Fourth Proportional to 158.22, 219.65 and 151.74

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Solution

The fourth proportional to 158.22, 219.65 and 151.74 is: 210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.22 : 219.65 = 151.74 : x
  2. Step 2: Convert to fraction form
    158.22/219.65 = 151.74/x
  3. Step 3: Cross multiply
    158.22x = 219.65 × 151.74
  4. Step 4: Simplify right side
    158.22x = 33,328.93
  5. Step 5: Solve for x
    x = 33,328.93/158.22
  6. Step 6: Final answer
    x = 210.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.