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Finding the Fourth Proportional to 324.55, 484.61 and 306.01

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Solution

The fourth proportional to 324.55, 484.61 and 306.01 is: 456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.55 : 484.61 = 306.01 : x
  2. Step 2: Convert to fraction form
    324.55/484.61 = 306.01/x
  3. Step 3: Cross multiply
    324.55x = 484.61 × 306.01
  4. Step 4: Simplify right side
    324.55x = 148,295.51
  5. Step 5: Solve for x
    x = 148,295.51/324.55
  6. Step 6: Final answer
    x = 456.93

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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.