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Finding the Fourth Proportional to 287.32, 429.96 and 165.10

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Solution

The fourth proportional to 287.32, 429.96 and 165.10 is: 247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.32 : 429.96 = 165.10 : x
  2. Step 2: Convert to fraction form
    287.32/429.96 = 165.10/x
  3. Step 3: Cross multiply
    287.32x = 429.96 × 165.10
  4. Step 4: Simplify right side
    287.32x = 70,986.40
  5. Step 5: Solve for x
    x = 70,986.40/287.32
  6. Step 6: Final answer
    x = 247.06

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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.