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Finding the Fourth Proportional to 346.66, 520.07 and 285.06

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Solution

The fourth proportional to 346.66, 520.07 and 285.06 is: 427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.66 : 520.07 = 285.06 : x
  2. Step 2: Convert to fraction form
    346.66/520.07 = 285.06/x
  3. Step 3: Cross multiply
    346.66x = 520.07 × 285.06
  4. Step 4: Simplify right side
    346.66x = 148,251.68
  5. Step 5: Solve for x
    x = 148,251.68/346.66
  6. Step 6: Final answer
    x = 427.66

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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.