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Finding the Fourth Proportional to 341.48, 514.82 and 287.75

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Solution

The fourth proportional to 341.48, 514.82 and 287.75 is: 433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.48 : 514.82 = 287.75 : x
  2. Step 2: Convert to fraction form
    341.48/514.82 = 287.75/x
  3. Step 3: Cross multiply
    341.48x = 514.82 × 287.75
  4. Step 4: Simplify right side
    341.48x = 148,141.46
  5. Step 5: Solve for x
    x = 148,141.46/341.48
  6. Step 6: Final answer
    x = 433.82

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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.