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Finding the Fourth Proportional to 582.16, 872.40 and 308.16

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Solution

The fourth proportional to 582.16, 872.40 and 308.16 is: 461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 872.40 = 308.16 : x
  2. Step 2: Convert to fraction form
    582.16/872.40 = 308.16/x
  3. Step 3: Cross multiply
    582.16x = 872.40 × 308.16
  4. Step 4: Simplify right side
    582.16x = 268,838.78
  5. Step 5: Solve for x
    x = 268,838.78/582.16
  6. Step 6: Final answer
    x = 461.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.