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Finding the Fourth Proportional to 157.04, 216.92 and 151.42

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Solution

The fourth proportional to 157.04, 216.92 and 151.42 is: 209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.04 : 216.92 = 151.42 : x
  2. Step 2: Convert to fraction form
    157.04/216.92 = 151.42/x
  3. Step 3: Cross multiply
    157.04x = 216.92 × 151.42
  4. Step 4: Simplify right side
    157.04x = 32,846.03
  5. Step 5: Solve for x
    x = 32,846.03/157.04
  6. Step 6: Final answer
    x = 209.16

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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.