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Finding the Fourth Proportional to 342.29, 511.04 and 287.62

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Solution

The fourth proportional to 342.29, 511.04 and 287.62 is: 429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.29 : 511.04 = 287.62 : x
  2. Step 2: Convert to fraction form
    342.29/511.04 = 287.62/x
  3. Step 3: Cross multiply
    342.29x = 511.04 × 287.62
  4. Step 4: Simplify right side
    342.29x = 146,984.77
  5. Step 5: Solve for x
    x = 146,984.77/342.29
  6. Step 6: Final answer
    x = 429.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.