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Finding the Fourth Proportional to 416.39, 623.78 and 358.61

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Solution

The fourth proportional to 416.39, 623.78 and 358.61 is: 537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.39 : 623.78 = 358.61 : x
  2. Step 2: Convert to fraction form
    416.39/623.78 = 358.61/x
  3. Step 3: Cross multiply
    416.39x = 623.78 × 358.61
  4. Step 4: Simplify right side
    416.39x = 223,693.51
  5. Step 5: Solve for x
    x = 223,693.51/416.39
  6. Step 6: Final answer
    x = 537.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.