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Finding the Fourth Proportional to 139.64, 208.08 and 130.52

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Solution

The fourth proportional to 139.64, 208.08 and 130.52 is: 194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.64 : 208.08 = 130.52 : x
  2. Step 2: Convert to fraction form
    139.64/208.08 = 130.52/x
  3. Step 3: Cross multiply
    139.64x = 208.08 × 130.52
  4. Step 4: Simplify right side
    139.64x = 27,159.12
  5. Step 5: Solve for x
    x = 27,159.12/139.64
  6. Step 6: Final answer
    x = 194.50

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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.