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Finding the Fourth Proportional to 338.64, 508.08 and 143.76

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Solution

The fourth proportional to 338.64, 508.08 and 143.76 is: 215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 508.08 = 143.76 : x
  2. Step 2: Convert to fraction form
    338.64/508.08 = 143.76/x
  3. Step 3: Cross multiply
    338.64x = 508.08 × 143.76
  4. Step 4: Simplify right side
    338.64x = 73,041.58
  5. Step 5: Solve for x
    x = 73,041.58/338.64
  6. Step 6: Final answer
    x = 215.69

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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.