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Finding the Fourth Proportional to 130.24, 178.44 and 128.64

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Solution

The fourth proportional to 130.24, 178.44 and 128.64 is: 176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.24 : 178.44 = 128.64 : x
  2. Step 2: Convert to fraction form
    130.24/178.44 = 128.64/x
  3. Step 3: Cross multiply
    130.24x = 178.44 × 128.64
  4. Step 4: Simplify right side
    130.24x = 22,954.52
  5. Step 5: Solve for x
    x = 22,954.52/130.24
  6. Step 6: Final answer
    x = 176.25

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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.