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Finding the Fourth Proportional to 304.68, 420.23 and 257.99

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Solution

The fourth proportional to 304.68, 420.23 and 257.99 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.68 : 420.23 = 257.99 : x
  2. Step 2: Convert to fraction form
    304.68/420.23 = 257.99/x
  3. Step 3: Cross multiply
    304.68x = 420.23 × 257.99
  4. Step 4: Simplify right side
    304.68x = 108,413.68
  5. Step 5: Solve for x
    x = 108,413.68/304.68
  6. Step 6: Final answer
    x = 355.82

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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.