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Finding the Fourth Proportional to 154.99, 212.48 and 152.26

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Solution

The fourth proportional to 154.99, 212.48 and 152.26 is: 208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.99 : 212.48 = 152.26 : x
  2. Step 2: Convert to fraction form
    154.99/212.48 = 152.26/x
  3. Step 3: Cross multiply
    154.99x = 212.48 × 152.26
  4. Step 4: Simplify right side
    154.99x = 32,352.20
  5. Step 5: Solve for x
    x = 32,352.20/154.99
  6. Step 6: Final answer
    x = 208.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.