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Finding the Fourth Proportional to 287.16, 429.79 and 245.85

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Solution

The fourth proportional to 287.16, 429.79 and 245.85 is: 367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.16 : 429.79 = 245.85 : x
  2. Step 2: Convert to fraction form
    287.16/429.79 = 245.85/x
  3. Step 3: Cross multiply
    287.16x = 429.79 × 245.85
  4. Step 4: Simplify right side
    287.16x = 105,663.87
  5. Step 5: Solve for x
    x = 105,663.87/287.16
  6. Step 6: Final answer
    x = 367.96

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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.