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Finding the Fourth Proportional to 384.75, 579.96 and 345.06

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Solution

The fourth proportional to 384.75, 579.96 and 345.06 is: 520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 579.96 = 345.06 : x
  2. Step 2: Convert to fraction form
    384.75/579.96 = 345.06/x
  3. Step 3: Cross multiply
    384.75x = 579.96 × 345.06
  4. Step 4: Simplify right side
    384.75x = 200,121.00
  5. Step 5: Solve for x
    x = 200,121.00/384.75
  6. Step 6: Final answer
    x = 520.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.