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Finding the Fourth Proportional to 308.70, 432.90 and 308.70

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Solution

The fourth proportional to 308.70, 432.90 and 308.70 is: 432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.70 : 432.90 = 308.70 : x
  2. Step 2: Convert to fraction form
    308.70/432.90 = 308.70/x
  3. Step 3: Cross multiply
    308.70x = 432.90 × 308.70
  4. Step 4: Simplify right side
    308.70x = 133,636.23
  5. Step 5: Solve for x
    x = 133,636.23/308.70
  6. Step 6: Final answer
    x = 432.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.