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Finding the Fourth Proportional to 345.24, 515.75 and 322.45

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Solution

The fourth proportional to 345.24, 515.75 and 322.45 is: 481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.24 : 515.75 = 322.45 : x
  2. Step 2: Convert to fraction form
    345.24/515.75 = 322.45/x
  3. Step 3: Cross multiply
    345.24x = 515.75 × 322.45
  4. Step 4: Simplify right side
    345.24x = 166,303.59
  5. Step 5: Solve for x
    x = 166,303.59/345.24
  6. Step 6: Final answer
    x = 481.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.