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Finding the Fourth Proportional to 346.77, 520.04 and 190.58

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Solution

The fourth proportional to 346.77, 520.04 and 190.58 is: 285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.77 : 520.04 = 190.58 : x
  2. Step 2: Convert to fraction form
    346.77/520.04 = 190.58/x
  3. Step 3: Cross multiply
    346.77x = 520.04 × 190.58
  4. Step 4: Simplify right side
    346.77x = 99,105.67
  5. Step 5: Solve for x
    x = 99,105.67/346.77
  6. Step 6: Final answer
    x = 285.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.