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Finding the Fourth Proportional to 134.63, 184.58 and 130.01

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Solution

The fourth proportional to 134.63, 184.58 and 130.01 is: 178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.63 : 184.58 = 130.01 : x
  2. Step 2: Convert to fraction form
    134.63/184.58 = 130.01/x
  3. Step 3: Cross multiply
    134.63x = 184.58 × 130.01
  4. Step 4: Simplify right side
    134.63x = 23,996.16
  5. Step 5: Solve for x
    x = 23,996.16/134.63
  6. Step 6: Final answer
    x = 178.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.