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Finding the Fourth Proportional to 287.26, 430.98 and 125.08

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Solution

The fourth proportional to 287.26, 430.98 and 125.08 is: 187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.26 : 430.98 = 125.08 : x
  2. Step 2: Convert to fraction form
    287.26/430.98 = 125.08/x
  3. Step 3: Cross multiply
    287.26x = 430.98 × 125.08
  4. Step 4: Simplify right side
    287.26x = 53,906.98
  5. Step 5: Solve for x
    x = 53,906.98/287.26
  6. Step 6: Final answer
    x = 187.66

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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.