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Finding the Fourth Proportional to 130.95, 179.53 and 128.66

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Solution

The fourth proportional to 130.95, 179.53 and 128.66 is: 176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.95 : 179.53 = 128.66 : x
  2. Step 2: Convert to fraction form
    130.95/179.53 = 128.66/x
  3. Step 3: Cross multiply
    130.95x = 179.53 × 128.66
  4. Step 4: Simplify right side
    130.95x = 23,097.11
  5. Step 5: Solve for x
    x = 23,097.11/130.95
  6. Step 6: Final answer
    x = 176.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.