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Finding the Fourth Proportional to 325.24, 485.34 and 290.63

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Solution

The fourth proportional to 325.24, 485.34 and 290.63 is: 433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.24 : 485.34 = 290.63 : x
  2. Step 2: Convert to fraction form
    325.24/485.34 = 290.63/x
  3. Step 3: Cross multiply
    325.24x = 485.34 × 290.63
  4. Step 4: Simplify right side
    325.24x = 141,051.94
  5. Step 5: Solve for x
    x = 141,051.94/325.24
  6. Step 6: Final answer
    x = 433.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.