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Finding the Fourth Proportional to 287.16, 429.66 and 165.48

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Solution

The fourth proportional to 287.16, 429.66 and 165.48 is: 247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.16 : 429.66 = 165.48 : x
  2. Step 2: Convert to fraction form
    287.16/429.66 = 165.48/x
  3. Step 3: Cross multiply
    287.16x = 429.66 × 165.48
  4. Step 4: Simplify right side
    287.16x = 71,100.14
  5. Step 5: Solve for x
    x = 71,100.14/287.16
  6. Step 6: Final answer
    x = 247.60

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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.