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Finding the Fourth Proportional to 308.07, 458.80 and 297.29

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Solution

The fourth proportional to 308.07, 458.80 and 297.29 is: 442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.07 : 458.80 = 297.29 : x
  2. Step 2: Convert to fraction form
    308.07/458.80 = 297.29/x
  3. Step 3: Cross multiply
    308.07x = 458.80 × 297.29
  4. Step 4: Simplify right side
    308.07x = 136,397.06
  5. Step 5: Solve for x
    x = 136,397.06/308.07
  6. Step 6: Final answer
    x = 442.75

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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.