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Finding the Fourth Proportional to 207.63, 286.47 and 130.01

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Solution

The fourth proportional to 207.63, 286.47 and 130.01 is: 179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.63 : 286.47 = 130.01 : x
  2. Step 2: Convert to fraction form
    207.63/286.47 = 130.01/x
  3. Step 3: Cross multiply
    207.63x = 286.47 × 130.01
  4. Step 4: Simplify right side
    207.63x = 37,242.53
  5. Step 5: Solve for x
    x = 37,242.53/207.63
  6. Step 6: Final answer
    x = 179.37

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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.