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Finding the Fourth Proportional to 368.68, 508.74 and 230.76

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Solution

The fourth proportional to 368.68, 508.74 and 230.76 is: 318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.68 : 508.74 = 230.76 : x
  2. Step 2: Convert to fraction form
    368.68/508.74 = 230.76/x
  3. Step 3: Cross multiply
    368.68x = 508.74 × 230.76
  4. Step 4: Simplify right side
    368.68x = 117,396.84
  5. Step 5: Solve for x
    x = 117,396.84/368.68
  6. Step 6: Final answer
    x = 318.42

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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.