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Finding the Fourth Proportional to 368.66, 509.15 and 286.74

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Solution

The fourth proportional to 368.66, 509.15 and 286.74 is: 396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.66 : 509.15 = 286.74 : x
  2. Step 2: Convert to fraction form
    368.66/509.15 = 286.74/x
  3. Step 3: Cross multiply
    368.66x = 509.15 × 286.74
  4. Step 4: Simplify right side
    368.66x = 145,992.24
  5. Step 5: Solve for x
    x = 145,992.24/368.66
  6. Step 6: Final answer
    x = 396.01

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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.