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Finding the Fourth Proportional to 131.04, 178.38 and 130.64

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Solution

The fourth proportional to 131.04, 178.38 and 130.64 is: 177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.04 : 178.38 = 130.64 : x
  2. Step 2: Convert to fraction form
    131.04/178.38 = 130.64/x
  3. Step 3: Cross multiply
    131.04x = 178.38 × 130.64
  4. Step 4: Simplify right side
    131.04x = 23,302.67
  5. Step 5: Solve for x
    x = 23,302.67/131.04
  6. Step 6: Final answer
    x = 177.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.