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Finding the Fourth Proportional to 280.51, 422.64 and 232.81

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Solution

The fourth proportional to 280.51, 422.64 and 232.81 is: 350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.51 : 422.64 = 232.81 : x
  2. Step 2: Convert to fraction form
    280.51/422.64 = 232.81/x
  3. Step 3: Cross multiply
    280.51x = 422.64 × 232.81
  4. Step 4: Simplify right side
    280.51x = 98,393.76
  5. Step 5: Solve for x
    x = 98,393.76/280.51
  6. Step 6: Final answer
    x = 350.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.