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Finding the Fourth Proportional to 148.63, 205.01 and 99.51

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Solution

The fourth proportional to 148.63, 205.01 and 99.51 is: 137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.63 : 205.01 = 99.51 : x
  2. Step 2: Convert to fraction form
    148.63/205.01 = 99.51/x
  3. Step 3: Cross multiply
    148.63x = 205.01 × 99.51
  4. Step 4: Simplify right side
    148.63x = 20,400.55
  5. Step 5: Solve for x
    x = 20,400.55/148.63
  6. Step 6: Final answer
    x = 137.26

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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.