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Finding the Fourth Proportional to 368.61, 508.69 and 228.73

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Solution

The fourth proportional to 368.61, 508.69 and 228.73 is: 315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.61 : 508.69 = 228.73 : x
  2. Step 2: Convert to fraction form
    368.61/508.69 = 228.73/x
  3. Step 3: Cross multiply
    368.61x = 508.69 × 228.73
  4. Step 4: Simplify right side
    368.61x = 116,352.66
  5. Step 5: Solve for x
    x = 116,352.66/368.61
  6. Step 6: Final answer
    x = 315.65

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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.