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Finding the Fourth Proportional to 341.06, 469.82 and 285.78

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Solution

The fourth proportional to 341.06, 469.82 and 285.78 is: 393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.06 : 469.82 = 285.78 : x
  2. Step 2: Convert to fraction form
    341.06/469.82 = 285.78/x
  3. Step 3: Cross multiply
    341.06x = 469.82 × 285.78
  4. Step 4: Simplify right side
    341.06x = 134,265.16
  5. Step 5: Solve for x
    x = 134,265.16/341.06
  6. Step 6: Final answer
    x = 393.67

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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.