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Finding the Fourth Proportional to 324.90, 485.04 and 313.51

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Solution

The fourth proportional to 324.90, 485.04 and 313.51 is: 468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.90 : 485.04 = 313.51 : x
  2. Step 2: Convert to fraction form
    324.90/485.04 = 313.51/x
  3. Step 3: Cross multiply
    324.90x = 485.04 × 313.51
  4. Step 4: Simplify right side
    324.90x = 152,064.11
  5. Step 5: Solve for x
    x = 152,064.11/324.90
  6. Step 6: Final answer
    x = 468.03

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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.