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Finding the Fourth Proportional to 349.78, 522.11 and 313.32

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Solution

The fourth proportional to 349.78, 522.11 and 313.32 is: 467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.78 : 522.11 = 313.32 : x
  2. Step 2: Convert to fraction form
    349.78/522.11 = 313.32/x
  3. Step 3: Cross multiply
    349.78x = 522.11 × 313.32
  4. Step 4: Simplify right side
    349.78x = 163,587.51
  5. Step 5: Solve for x
    x = 163,587.51/349.78
  6. Step 6: Final answer
    x = 467.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.