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Finding the Fourth Proportional to 130.34, 179.27 and 113.98

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Solution

The fourth proportional to 130.34, 179.27 and 113.98 is: 156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.34 : 179.27 = 113.98 : x
  2. Step 2: Convert to fraction form
    130.34/179.27 = 113.98/x
  3. Step 3: Cross multiply
    130.34x = 179.27 × 113.98
  4. Step 4: Simplify right side
    130.34x = 20,433.19
  5. Step 5: Solve for x
    x = 20,433.19/130.34
  6. Step 6: Final answer
    x = 156.77

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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.