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Finding the Fourth Proportional to 424.16, 585.41 and 319.77

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Solution

The fourth proportional to 424.16, 585.41 and 319.77 is: 441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.16 : 585.41 = 319.77 : x
  2. Step 2: Convert to fraction form
    424.16/585.41 = 319.77/x
  3. Step 3: Cross multiply
    424.16x = 585.41 × 319.77
  4. Step 4: Simplify right side
    424.16x = 187,196.56
  5. Step 5: Solve for x
    x = 187,196.56/424.16
  6. Step 6: Final answer
    x = 441.33

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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.