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Finding the Fourth Proportional to 286.12, 429.32 and 245.35

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Solution

The fourth proportional to 286.12, 429.32 and 245.35 is: 368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.12 : 429.32 = 245.35 : x
  2. Step 2: Convert to fraction form
    286.12/429.32 = 245.35/x
  3. Step 3: Cross multiply
    286.12x = 429.32 × 245.35
  4. Step 4: Simplify right side
    286.12x = 105,333.66
  5. Step 5: Solve for x
    x = 105,333.66/286.12
  6. Step 6: Final answer
    x = 368.15

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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.