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Finding the Fourth Proportional to 341.77, 474.90 and 337.42

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Solution

The fourth proportional to 341.77, 474.90 and 337.42 is: 468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.77 : 474.90 = 337.42 : x
  2. Step 2: Convert to fraction form
    341.77/474.90 = 337.42/x
  3. Step 3: Cross multiply
    341.77x = 474.90 × 337.42
  4. Step 4: Simplify right side
    341.77x = 160,237.42
  5. Step 5: Solve for x
    x = 160,237.42/341.77
  6. Step 6: Final answer
    x = 468.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.