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Finding the Fourth Proportional to 130.06, 179.70 and 100.66

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Solution

The fourth proportional to 130.06, 179.70 and 100.66 is: 139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.06 : 179.70 = 100.66 : x
  2. Step 2: Convert to fraction form
    130.06/179.70 = 100.66/x
  3. Step 3: Cross multiply
    130.06x = 179.70 × 100.66
  4. Step 4: Simplify right side
    130.06x = 18,088.60
  5. Step 5: Solve for x
    x = 18,088.60/130.06
  6. Step 6: Final answer
    x = 139.08

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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.