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Finding the Fourth Proportional to 130.65, 178.76 and 128.93

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Solution

The fourth proportional to 130.65, 178.76 and 128.93 is: 176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.65 : 178.76 = 128.93 : x
  2. Step 2: Convert to fraction form
    130.65/178.76 = 128.93/x
  3. Step 3: Cross multiply
    130.65x = 178.76 × 128.93
  4. Step 4: Simplify right side
    130.65x = 23,047.53
  5. Step 5: Solve for x
    x = 23,047.53/130.65
  6. Step 6: Final answer
    x = 176.41

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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.