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Finding the Fourth Proportional to 287, 430.74 and 116

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Solution

The fourth proportional to 287, 430.74 and 116 is: 174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287 : 430.74 = 116 : x
  2. Step 2: Convert to fraction form
    287/430.74 = 116/x
  3. Step 3: Cross multiply
    287x = 430.74 × 116
  4. Step 4: Simplify right side
    287x = 49,965.84
  5. Step 5: Solve for x
    x = 49,965.84/287
  6. Step 6: Final answer
    x = 174.10

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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.