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Finding the Fourth Proportional to 280.66, 421.15 and 157.36

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Solution

The fourth proportional to 280.66, 421.15 and 157.36 is: 236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.66 : 421.15 = 157.36 : x
  2. Step 2: Convert to fraction form
    280.66/421.15 = 157.36/x
  3. Step 3: Cross multiply
    280.66x = 421.15 × 157.36
  4. Step 4: Simplify right side
    280.66x = 66,272.16
  5. Step 5: Solve for x
    x = 66,272.16/280.66
  6. Step 6: Final answer
    x = 236.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.