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Finding the Fourth Proportional to 324.62, 488.95 and 302.08

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Solution

The fourth proportional to 324.62, 488.95 and 302.08 is: 455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.62 : 488.95 = 302.08 : x
  2. Step 2: Convert to fraction form
    324.62/488.95 = 302.08/x
  3. Step 3: Cross multiply
    324.62x = 488.95 × 302.08
  4. Step 4: Simplify right side
    324.62x = 147,702.02
  5. Step 5: Solve for x
    x = 147,702.02/324.62
  6. Step 6: Final answer
    x = 455.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.