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Finding the Fourth Proportional to 152.66, 209.34 and 152.30

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Solution

The fourth proportional to 152.66, 209.34 and 152.30 is: 208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.66 : 209.34 = 152.30 : x
  2. Step 2: Convert to fraction form
    152.66/209.34 = 152.30/x
  3. Step 3: Cross multiply
    152.66x = 209.34 × 152.30
  4. Step 4: Simplify right side
    152.66x = 31,882.48
  5. Step 5: Solve for x
    x = 31,882.48/152.66
  6. Step 6: Final answer
    x = 208.85

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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.