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Finding the Fourth Proportional to 130.65, 180.23 and 99.57

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Solution

The fourth proportional to 130.65, 180.23 and 99.57 is: 137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.65 : 180.23 = 99.57 : x
  2. Step 2: Convert to fraction form
    130.65/180.23 = 99.57/x
  3. Step 3: Cross multiply
    130.65x = 180.23 × 99.57
  4. Step 4: Simplify right side
    130.65x = 17,945.00
  5. Step 5: Solve for x
    x = 17,945.00/130.65
  6. Step 6: Final answer
    x = 137.35

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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.