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Finding the Fourth Proportional to 308.10, 424.80 and 264.36

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Solution

The fourth proportional to 308.10, 424.80 and 264.36 is: 364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.10 : 424.80 = 264.36 : x
  2. Step 2: Convert to fraction form
    308.10/424.80 = 264.36/x
  3. Step 3: Cross multiply
    308.10x = 424.80 × 264.36
  4. Step 4: Simplify right side
    308.10x = 112,300.13
  5. Step 5: Solve for x
    x = 112,300.13/308.10
  6. Step 6: Final answer
    x = 364.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.