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Finding the Fourth Proportional to 345.24, 520.83 and 328.14

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Solution

The fourth proportional to 345.24, 520.83 and 328.14 is: 495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.24 : 520.83 = 328.14 : x
  2. Step 2: Convert to fraction form
    345.24/520.83 = 328.14/x
  3. Step 3: Cross multiply
    345.24x = 520.83 × 328.14
  4. Step 4: Simplify right side
    345.24x = 170,905.16
  5. Step 5: Solve for x
    x = 170,905.16/345.24
  6. Step 6: Final answer
    x = 495.03

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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.