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Finding the Fourth Proportional to 162.95, 225 and 130.55

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Solution

The fourth proportional to 162.95, 225 and 130.55 is: 180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.95 : 225 = 130.55 : x
  2. Step 2: Convert to fraction form
    162.95/225 = 130.55/x
  3. Step 3: Cross multiply
    162.95x = 225 × 130.55
  4. Step 4: Simplify right side
    162.95x = 29,373.75
  5. Step 5: Solve for x
    x = 29,373.75/162.95
  6. Step 6: Final answer
    x = 180.26

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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.