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Finding the Fourth Proportional to 346.84, 477.54 and 314.44

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Solution

The fourth proportional to 346.84, 477.54 and 314.44 is: 432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.84 : 477.54 = 314.44 : x
  2. Step 2: Convert to fraction form
    346.84/477.54 = 314.44/x
  3. Step 3: Cross multiply
    346.84x = 477.54 × 314.44
  4. Step 4: Simplify right side
    346.84x = 150,157.68
  5. Step 5: Solve for x
    x = 150,157.68/346.84
  6. Step 6: Final answer
    x = 432.93

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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.