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Finding the Fourth Proportional to 131, 180.20 and 130.07

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Solution

The fourth proportional to 131, 180.20 and 130.07 is: 178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131 : 180.20 = 130.07 : x
  2. Step 2: Convert to fraction form
    131/180.20 = 130.07/x
  3. Step 3: Cross multiply
    131x = 180.20 × 130.07
  4. Step 4: Simplify right side
    131x = 23,437.96
  5. Step 5: Solve for x
    x = 23,437.96/131
  6. Step 6: Final answer
    x = 178.92

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