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Finding the Fourth Proportional to 286.30, 429.51 and 140.08

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Solution

The fourth proportional to 286.30, 429.51 and 140.08 is: 210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.30 : 429.51 = 140.08 : x
  2. Step 2: Convert to fraction form
    286.30/429.51 = 140.08/x
  3. Step 3: Cross multiply
    286.30x = 429.51 × 140.08
  4. Step 4: Simplify right side
    286.30x = 60,165.76
  5. Step 5: Solve for x
    x = 60,165.76/286.30
  6. Step 6: Final answer
    x = 210.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.