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Finding the Fourth Proportional to 308.86, 465.47 and 290.62

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Solution

The fourth proportional to 308.86, 465.47 and 290.62 is: 437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.86 : 465.47 = 290.62 : x
  2. Step 2: Convert to fraction form
    308.86/465.47 = 290.62/x
  3. Step 3: Cross multiply
    308.86x = 465.47 × 290.62
  4. Step 4: Simplify right side
    308.86x = 135,274.89
  5. Step 5: Solve for x
    x = 135,274.89/308.86
  6. Step 6: Final answer
    x = 437.98

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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.