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Finding the Fourth Proportional to 130.61, 180.21 and 106.01

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Solution

The fourth proportional to 130.61, 180.21 and 106.01 is: 146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.61 : 180.21 = 106.01 : x
  2. Step 2: Convert to fraction form
    130.61/180.21 = 106.01/x
  3. Step 3: Cross multiply
    130.61x = 180.21 × 106.01
  4. Step 4: Simplify right side
    130.61x = 19,103.16
  5. Step 5: Solve for x
    x = 19,103.16/130.61
  6. Step 6: Final answer
    x = 146.27

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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.