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Finding the Fourth Proportional to 130.86, 180.30 and 98.04

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Solution

The fourth proportional to 130.86, 180.30 and 98.04 is: 135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.86 : 180.30 = 98.04 : x
  2. Step 2: Convert to fraction form
    130.86/180.30 = 98.04/x
  3. Step 3: Cross multiply
    130.86x = 180.30 × 98.04
  4. Step 4: Simplify right side
    130.86x = 17,676.61
  5. Step 5: Solve for x
    x = 17,676.61/130.86
  6. Step 6: Final answer
    x = 135.08

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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.