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Finding the Fourth Proportional to 287.34, 431.00 and 165.53

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Solution

The fourth proportional to 287.34, 431.00 and 165.53 is: 248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.34 : 431.00 = 165.53 : x
  2. Step 2: Convert to fraction form
    287.34/431.00 = 165.53/x
  3. Step 3: Cross multiply
    287.34x = 431.00 × 165.53
  4. Step 4: Simplify right side
    287.34x = 71,340.45
  5. Step 5: Solve for x
    x = 71,340.45/287.34
  6. Step 6: Final answer
    x = 248.28

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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.