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Finding the Fourth Proportional to 287.43, 430.98 and 113.93

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Solution

The fourth proportional to 287.43, 430.98 and 113.93 is: 170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.43 : 430.98 = 113.93 : x
  2. Step 2: Convert to fraction form
    287.43/430.98 = 113.93/x
  3. Step 3: Cross multiply
    287.43x = 430.98 × 113.93
  4. Step 4: Simplify right side
    287.43x = 49,101.55
  5. Step 5: Solve for x
    x = 49,101.55/287.43
  6. Step 6: Final answer
    x = 170.83

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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.