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Finding the Fourth Proportional to 424.12, 584.94 and 358.84

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Solution

The fourth proportional to 424.12, 584.94 and 358.84 is: 494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.12 : 584.94 = 358.84 : x
  2. Step 2: Convert to fraction form
    424.12/584.94 = 358.84/x
  3. Step 3: Cross multiply
    424.12x = 584.94 × 358.84
  4. Step 4: Simplify right side
    424.12x = 209,899.87
  5. Step 5: Solve for x
    x = 209,899.87/424.12
  6. Step 6: Final answer
    x = 494.91

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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.