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Finding the Fourth Proportional to 130.07, 179.30 and 102.40

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Solution

The fourth proportional to 130.07, 179.30 and 102.40 is: 141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.07 : 179.30 = 102.40 : x
  2. Step 2: Convert to fraction form
    130.07/179.30 = 102.40/x
  3. Step 3: Cross multiply
    130.07x = 179.30 × 102.40
  4. Step 4: Simplify right side
    130.07x = 18,359.58
  5. Step 5: Solve for x
    x = 18,359.58/130.07
  6. Step 6: Final answer
    x = 141.15

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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.