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Finding the Fourth Proportional to 314.80, 433.79 and 259.92

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Solution

The fourth proportional to 314.80, 433.79 and 259.92 is: 358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.80 : 433.79 = 259.92 : x
  2. Step 2: Convert to fraction form
    314.80/433.79 = 259.92/x
  3. Step 3: Cross multiply
    314.80x = 433.79 × 259.92
  4. Step 4: Simplify right side
    314.80x = 112,750.37
  5. Step 5: Solve for x
    x = 112,750.37/314.80
  6. Step 6: Final answer
    x = 358.17

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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.