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Finding the Fourth Proportional to 324.60, 483.64 and 315.89

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Solution

The fourth proportional to 324.60, 483.64 and 315.89 is: 470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.60 : 483.64 = 315.89 : x
  2. Step 2: Convert to fraction form
    324.60/483.64 = 315.89/x
  3. Step 3: Cross multiply
    324.60x = 483.64 × 315.89
  4. Step 4: Simplify right side
    324.60x = 152,775.65
  5. Step 5: Solve for x
    x = 152,775.65/324.60
  6. Step 6: Final answer
    x = 470.66

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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.