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Finding the Fourth Proportional to 319.77, 438.72 and 304.29

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Solution

The fourth proportional to 319.77, 438.72 and 304.29 is: 417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.77 : 438.72 = 304.29 : x
  2. Step 2: Convert to fraction form
    319.77/438.72 = 304.29/x
  3. Step 3: Cross multiply
    319.77x = 438.72 × 304.29
  4. Step 4: Simplify right side
    319.77x = 133,498.11
  5. Step 5: Solve for x
    x = 133,498.11/319.77
  6. Step 6: Final answer
    x = 417.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.