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Finding the Fourth Proportional to 305.93, 424.94 and 297.29

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Solution

The fourth proportional to 305.93, 424.94 and 297.29 is: 412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.93 : 424.94 = 297.29 : x
  2. Step 2: Convert to fraction form
    305.93/424.94 = 297.29/x
  3. Step 3: Cross multiply
    305.93x = 424.94 × 297.29
  4. Step 4: Simplify right side
    305.93x = 126,329.99
  5. Step 5: Solve for x
    x = 126,329.99/305.93
  6. Step 6: Final answer
    x = 412.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.