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Finding the Fourth Proportional to 423.86, 584.91 and 258.08

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Solution

The fourth proportional to 423.86, 584.91 and 258.08 is: 356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.86 : 584.91 = 258.08 : x
  2. Step 2: Convert to fraction form
    423.86/584.91 = 258.08/x
  3. Step 3: Cross multiply
    423.86x = 584.91 × 258.08
  4. Step 4: Simplify right side
    423.86x = 150,950.65
  5. Step 5: Solve for x
    x = 150,950.65/423.86
  6. Step 6: Final answer
    x = 356.14

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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.