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Finding the Fourth Proportional to 419.51, 578.92 and 293.65

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Solution

The fourth proportional to 419.51, 578.92 and 293.65 is: 405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.51 : 578.92 = 293.65 : x
  2. Step 2: Convert to fraction form
    419.51/578.92 = 293.65/x
  3. Step 3: Cross multiply
    419.51x = 578.92 × 293.65
  4. Step 4: Simplify right side
    419.51x = 169,999.86
  5. Step 5: Solve for x
    x = 169,999.86/419.51
  6. Step 6: Final answer
    x = 405.23

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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.