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Finding the Fourth Proportional to 131.16, 180.52 and 100.02

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Solution

The fourth proportional to 131.16, 180.52 and 100.02 is: 137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.16 : 180.52 = 100.02 : x
  2. Step 2: Convert to fraction form
    131.16/180.52 = 100.02/x
  3. Step 3: Cross multiply
    131.16x = 180.52 × 100.02
  4. Step 4: Simplify right side
    131.16x = 18,055.61
  5. Step 5: Solve for x
    x = 18,055.61/131.16
  6. Step 6: Final answer
    x = 137.66

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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.