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Finding the Fourth Proportional to 368.78, 509.10 and 286.30

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Solution

The fourth proportional to 368.78, 509.10 and 286.30 is: 395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.78 : 509.10 = 286.30 : x
  2. Step 2: Convert to fraction form
    368.78/509.10 = 286.30/x
  3. Step 3: Cross multiply
    368.78x = 509.10 × 286.30
  4. Step 4: Simplify right side
    368.78x = 145,755.33
  5. Step 5: Solve for x
    x = 145,755.33/368.78
  6. Step 6: Final answer
    x = 395.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.