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Finding the Fourth Proportional to 287.37, 430.71 and 165.38

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Solution

The fourth proportional to 287.37, 430.71 and 165.38 is: 247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.37 : 430.71 = 165.38 : x
  2. Step 2: Convert to fraction form
    287.37/430.71 = 165.38/x
  3. Step 3: Cross multiply
    287.37x = 430.71 × 165.38
  4. Step 4: Simplify right side
    287.37x = 71,227.84
  5. Step 5: Solve for x
    x = 71,227.84/287.37
  6. Step 6: Final answer
    x = 247.87

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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.