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Finding the Fourth Proportional to 157.62, 218.54 and 148.31

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Solution

The fourth proportional to 157.62, 218.54 and 148.31 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.62 : 218.54 = 148.31 : x
  2. Step 2: Convert to fraction form
    157.62/218.54 = 148.31/x
  3. Step 3: Cross multiply
    157.62x = 218.54 × 148.31
  4. Step 4: Simplify right side
    157.62x = 32,411.67
  5. Step 5: Solve for x
    x = 32,411.67/157.62
  6. Step 6: Final answer
    x = 205.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.