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Finding the Fourth Proportional to 358.71, 534.39 and 345.65

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Solution

The fourth proportional to 358.71, 534.39 and 345.65 is: 514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.71 : 534.39 = 345.65 : x
  2. Step 2: Convert to fraction form
    358.71/534.39 = 345.65/x
  3. Step 3: Cross multiply
    358.71x = 534.39 × 345.65
  4. Step 4: Simplify right side
    358.71x = 184,709.23
  5. Step 5: Solve for x
    x = 184,709.23/358.71
  6. Step 6: Final answer
    x = 514.93

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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.