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Finding the Fourth Proportional to 287.61, 431.10 and 165.90

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Solution

The fourth proportional to 287.61, 431.10 and 165.90 is: 248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.61 : 431.10 = 165.90 : x
  2. Step 2: Convert to fraction form
    287.61/431.10 = 165.90/x
  3. Step 3: Cross multiply
    287.61x = 431.10 × 165.90
  4. Step 4: Simplify right side
    287.61x = 71,519.49
  5. Step 5: Solve for x
    x = 71,519.49/287.61
  6. Step 6: Final answer
    x = 248.67

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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.