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Finding the Fourth Proportional to 243.16, 335.63 and 148.66

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Solution

The fourth proportional to 243.16, 335.63 and 148.66 is: 205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.16 : 335.63 = 148.66 : x
  2. Step 2: Convert to fraction form
    243.16/335.63 = 148.66/x
  3. Step 3: Cross multiply
    243.16x = 335.63 × 148.66
  4. Step 4: Simplify right side
    243.16x = 49,894.76
  5. Step 5: Solve for x
    x = 49,894.76/243.16
  6. Step 6: Final answer
    x = 205.19

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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.