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Finding the Fourth Proportional to 152.30, 209.75 and 131.57

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Solution

The fourth proportional to 152.30, 209.75 and 131.57 is: 181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.30 : 209.75 = 131.57 : x
  2. Step 2: Convert to fraction form
    152.30/209.75 = 131.57/x
  3. Step 3: Cross multiply
    152.30x = 209.75 × 131.57
  4. Step 4: Simplify right side
    152.30x = 27,595.10
  5. Step 5: Solve for x
    x = 27,595.10/152.30
  6. Step 6: Final answer
    x = 181.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.