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Finding the Fourth Proportional to 151.16, 207.70 and 123.46

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Solution

The fourth proportional to 151.16, 207.70 and 123.46 is: 169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.16 : 207.70 = 123.46 : x
  2. Step 2: Convert to fraction form
    151.16/207.70 = 123.46/x
  3. Step 3: Cross multiply
    151.16x = 207.70 × 123.46
  4. Step 4: Simplify right side
    151.16x = 25,642.64
  5. Step 5: Solve for x
    x = 25,642.64/151.16
  6. Step 6: Final answer
    x = 169.64

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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.