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Finding the Fourth Proportional to 358.74, 496.35 and 345.30

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Solution

The fourth proportional to 358.74, 496.35 and 345.30 is: 477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.74 : 496.35 = 345.30 : x
  2. Step 2: Convert to fraction form
    358.74/496.35 = 345.30/x
  3. Step 3: Cross multiply
    358.74x = 496.35 × 345.30
  4. Step 4: Simplify right side
    358.74x = 171,389.66
  5. Step 5: Solve for x
    x = 171,389.66/358.74
  6. Step 6: Final answer
    x = 477.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.