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Finding the Fourth Proportional to 157.42, 215.80 and 149.59

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Solution

The fourth proportional to 157.42, 215.80 and 149.59 is: 205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.42 : 215.80 = 149.59 : x
  2. Step 2: Convert to fraction form
    157.42/215.80 = 149.59/x
  3. Step 3: Cross multiply
    157.42x = 215.80 × 149.59
  4. Step 4: Simplify right side
    157.42x = 32,281.52
  5. Step 5: Solve for x
    x = 32,281.52/157.42
  6. Step 6: Final answer
    x = 205.07

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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.