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Finding the Fourth Proportional to 152.39, 208.92 and 148.31

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Solution

The fourth proportional to 152.39, 208.92 and 148.31 is: 203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.39 : 208.92 = 148.31 : x
  2. Step 2: Convert to fraction form
    152.39/208.92 = 148.31/x
  3. Step 3: Cross multiply
    152.39x = 208.92 × 148.31
  4. Step 4: Simplify right side
    152.39x = 30,984.93
  5. Step 5: Solve for x
    x = 30,984.93/152.39
  6. Step 6: Final answer
    x = 203.33

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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.