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Finding the Fourth Proportional to 152.74, 210.15 and 131.95

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Solution

The fourth proportional to 152.74, 210.15 and 131.95 is: 181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.74 : 210.15 = 131.95 : x
  2. Step 2: Convert to fraction form
    152.74/210.15 = 131.95/x
  3. Step 3: Cross multiply
    152.74x = 210.15 × 131.95
  4. Step 4: Simplify right side
    152.74x = 27,729.52
  5. Step 5: Solve for x
    x = 27,729.52/152.74
  6. Step 6: Final answer
    x = 181.55

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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.