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Finding the Fourth Proportional to 139.51, 207.89 and 130.40

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Solution

The fourth proportional to 139.51, 207.89 and 130.40 is: 194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.51 : 207.89 = 130.40 : x
  2. Step 2: Convert to fraction form
    139.51/207.89 = 130.40/x
  3. Step 3: Cross multiply
    139.51x = 207.89 × 130.40
  4. Step 4: Simplify right side
    139.51x = 27,108.86
  5. Step 5: Solve for x
    x = 27,108.86/139.51
  6. Step 6: Final answer
    x = 194.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.